Podcasts about lattices

Summary In this week's episode, Anna (https://x.com/AnnaRRose) catches up with Dan Boneh (https://twitter.com/danboneh), Professor of Computer Science and Electrical Engineering, Stanford University. They discuss the focus of his research today, covering new ZK research problems and themes. This includes work on lattice-based SNARKs, ZK for content provenance, ZK in the FHE context, updates on ZK in ML and more! Here's some additional links for this episode: 0:03:08.3 Episode 256: New ZK Use Cases with Dan Boneh (https://zeroknowledge.fm/256-2/) Episode 100: Dan Boneh on the past, present & future of cryptography (https://zeroknowledge.fm/100-2/) 0:03:44.6 Episode 341: coSNARKs with Ais and Lukas from TACEO (https://zeroknowledge.fm/341-2/) 0:07:57.2 LaBRADOR: Compact Proofs for R1CS from Module-SIS? Ward Beullens and Gregor Seiler (https://eprint.iacr.org/2022/1341.pdf) 0:07:57.2 Bulletproofs: Short Proofs for Confidential Transactions and More by Bünz, Bootle, Boneh, Poelstra, Wuille, and Maxwell (https://eprint.iacr.org/2017/1066.pdf) 0:09:44.7 Greyhound: Fast Polynomial Commitments from Lattices by Nguyen and Seiler (https://eprint.iacr.org/2024/1293.pdf) 0:11:28.3 LatticeFold: A Lattice-based Folding Scheme and its Applications to Succinct Proof Systems Dan Boneh and Binyi Chen (https://eprint.iacr.org/2024/257.pdf) 0:12:48.2 Protostar: Generic Efficient Accumulation/Folding for Special-sound Protocols by Bünz and Chen (https://eprint.iacr.org/2023/620.pdf) 0:13:03.3 BaseFold: Efficient Field-Agnostic Polynomial Commitment Schemes from Foldable Codes by Zeilberger, Chen and Fisch (https://eprint.iacr.org/2023/1705.pdf) 0:13:03.3 Blaze: Fast SNARKs from Interleaved RAA Codes by Brehm, Chen, Fisch, Resch, Rothblum and Zeilberger (https://eprint.iacr.org/2024/1609.pdf) 0:13:03.3 Episode 277: Nova and Beyond with Srinath Setty (https://zeroknowledge.fm/277-2/) 0:31:16.5 Verifiable FHE via Lattice-based SNARKs by Atapoor, Baghery, Pereira and Spiessens (https://eprint.iacr.org/2024/032.pdf) 0:35:15.6 ARC: Accumulation for Reed–Solomon Codes by Bünz, Mishra, Nguyen and Wang (https://eprint.iacr.org/2024/1731.pdf) 0:49:10.9 VerITAS: Verifying Image Transformations at Scale by Datta, Chen and Boneh (https://eprint.iacr.org/2024/1066.pdf) 1:00:42.7 ZK Whiteboard Sessions - Module One: What is a SNARK? by Dan Boneh (https://zkhack.dev/whiteboard/module-one/) ZK Hack V (https://zkhack.dev/zkhackV/) kicks off this week, running from Nov 26 to Dec 17! Sign up for your spot here (https://zkhack.dev/zkhackV/). Check out the latest jobs in ZK at the ZK Podcast jobs board here! (https://jobsboard.zeroknowledge.fm/) Aleo (http://aleo.org/) is a new Layer-1 blockchain that achieves the programmability of Ethereum, the privacy of Zcash, and the scalability of a rollup. As Aleo is gearing up for their mainnet launch in Q1, this is an invitation to be part of a transformational ZK journey. Dive deeper and discover more about Aleo at http://aleo.org/ (http://aleo.org/). If you like what we do: * Find all our links here! @ZeroKnowledge | Linktree (https://linktr.ee/zeroknowledge) * Subscribe to our podcast newsletter (https://zeroknowledge.substack.com) * Follow us on Twitter @zeroknowledgefm (https://twitter.com/zeroknowledgefm) * Join us on Telegram (https://zeroknowledge.fm/telegram) * Catch us on YouTube (www.youtube.com/channel/UCYWsYz5cKw4wZ9Mpe4kuM_g)

In this follow-up to episode #51 of AM Radio, Dr. Tim Simpson joins Stephanie Hendrixson and Pete Zelinski in the studio to talk more about how NASA is implementing and shaping additive manufacturing. As part of an intergovernmental personnel act (IPA) assignment, Dr. Simpson has spent the last two years deployed within NASA helping to advance additive use cases and connect AM users within the organization. In this episode, he shares insights from this work including NASA's collaborative relationship with commercial space; its role in studying AM fundamentals and providing testing resources;  missions currently using the technology; and where additive will enable NASA to go next.   Find photos, related links and the transcript for this episode on AdditiveManufacturing.Media.   This episode is brought to you by Additive Manufacturing Media. Never miss a story.    Mentioned in this episode:   Episode #51 (PART 1)   The Cool Parts Show episodes featuring:  "Evolved" bracket structures for the EXCITE mission, seen at Goddard Space Flight Center Lattices for the Mars sample return mission, seen at the Jet Propulsion Lab The RAMPT thrust chamber assembly, filmed at Marshall Space Flight Center    Other resources: Additive Manufacturing for Rocket Propulsion Applications by Paul Gradl NASA 6030 standard Work from other folks Tim mentioned: Scott Roberts Michael Schein

Noticing command control channels by reviewing DNS protocols https://isc.sans.edu/diary/Noticing%20command%20and%20control%20channels%20by%20reviewing%20DNS%20protocols/30396 Passive SSH Key Compromise via Lattices https://eprint.iacr.org/2023/1711.pdf Juniper Vulnerabilities Exploited https://supportportal.juniper.net/s/article/2023-08-Out-of-Cycle-Security-Bulletin-Junos-OS-SRX-Series-and-EX-Series-Multiple-vulnerabilities-in-J-Web-can-be-combined-to-allow-a-preAuth-Remote-Code-Execution?language=en_US

Noticing command control channels by reviewing DNS protocols https://isc.sans.edu/diary/Noticing%20command%20and%20control%20channels%20by%20reviewing%20DNS%20protocols/30396 Passive SSH Key Compromise via Lattices https://eprint.iacr.org/2023/1711.pdf Juniper Vulnerabilities Exploited https://supportportal.juniper.net/s/article/2023-08-Out-of-Cycle-Security-Bulletin-Junos-OS-SRX-Series-and-EX-Series-Multiple-vulnerabilities-in-J-Web-can-be-combined-to-allow-a-preAuth-Remote-Code-Execution?language=en_US

Returning champion Martin Albrecht joins us to help explain how we measure the security of lattice-based cryptosystems like Kyber and Dilithium against attackers. QRAM, BKZ, LLL, oh my!Transcript: https://securitycryptographywhatever.com/2023/11/13/lattice-attacks/Links:- https://pq-crystals.org/kyber/index.shtml- https://pq-crystals.org/dilithium/index.shtml- https://eprint.iacr.org/2019/930.pdf- https://en.wikipedia.org/wiki/Short_integer_solution_problem- Frodo: https://eprint.iacr.org/2016/659- https://csrc.nist.gov/CSRC/media/Events/third-pqc-standardization-conference/documents/accepted-papers/ribeiro-saber-pq-key-pqc2021.pdf- https://en.wikipedia.org/wiki/Hermite_normal_form- https://en.wikipedia.org/wiki/Wagner%E2%80%93Fischer_algorithm- https://www.math.auckland.ac.nz/~sgal018/crypto-book/ch18.pdf- https://eprint.iacr.org/2019/1161- QRAM: https://arxiv.org/abs/2305.10310- https://en.wikipedia.org/wiki/Lenstra%E2%80%93Lenstra%E2%80%93Lov%C3%A1sz_lattice_basis_reduction_algorithm- MATZOV improved dual lattice attack: https://zenodo.org/records/6412487- https://eprint.iacr.org/2008/504.pdf- https://eprint.iacr.org/2023/302.pdf"Security Cryptography Whatever" is hosted by Deirdre Connolly (@durumcrustulum), Thomas Ptacek (@tqbf), and David Adrian (@davidcadrian)

Lexman chats with Lee Cronin about his book "Sutherland's Sphinx: The Extraordinary Story of a Forgotten Landmark", the history of sphinxes in Suffolk, and the phenomenon of overcasts.

In episode 31 of the Quantum Consciousness series, Justin Riddle discusses the role of geometry in our understanding of the universe. The discussion begins looking at the manifestation of geometric forms in the world around us in the form of crystals. Crystals are a cornerstone of modern technology as they increase the controllability of the physical world around us through their structure. Many researchers studying quantum biology theorize that when highly ordered structures, often by the creation of a lattice, might enable subtle quantum properties to be magnified. Other researchers look to geometry in their pursuit of a mathematical theory of everything. If only we could understand all of the driving forces in the universe, then we could build more advanced technologies. Surely, a theory of everything must be quite complex. In this pursuit, some researchers postulate that multidimensional geometric forms are the solution. For example, Klee Irwin claims the so-called E8-lattice serves as a unification of all forces and that all things are a projection from this higher dimensional system into our lower 3-dimensional reality. From this perspective, every superposition is a decision between multiple projections that could be selected. Critically, with the same unifying E8-lattice behind the scenes, humans are able to communicate and understand each other by virtue of a shared universal form underlying each of our expressions. My experience of love is the same as your experience of love, because love is a complex geometric form in the E8-lattice. But this has to make you wonder, can love be a geometric shape? Third, I highlight some of the inspiring work from Andres Gomez-Emilsson mapping out the stages of a DMT trip from the standpoint of geometry. During a breakthrough experience, trippers report a direct firsthand experience of viewing hyperbolic geometric objects. Hyperbolic geometry appears to be continuously folding outward. Look up some visualizers as these shapes are inherently bizarre. Could this geometric form explain the bizarreness of these altered states of consciousness? Furthermore, the experience of hyperbolic geometry in firsthand experience suggests that there might be a shift in the mental-space from which we are viewing the object. If we posit that the mind is quantum computer, then this may correspond to a warping of the geometric structure of the Hilbert space of our wave-function mind (the Hilbert space is the multidimensional probability distribution of a quantum system). There are a lot of thought-provoking theories presented in this episode – all of which utilize the principles of geometry as a fundamental aspect of physical reality, mathematics, or our inner experience.

The Covid-19 pandemic highlighted that linear supply chains in a linear economy are brittle and vulnerable to shocks. In this episode, Bill McRaith — the former CSO of PVH, the US company that owns fashion brands including Calvin Klein and Tommy Hilfiger — explains how the circular economy offers opportunities to transition from fragile supply chains to more resilient supply ‘lattices.'Tune in to hear Bill's advice to companies that are trying to restructure their supply chains — and the change in mindset it requires in global boardrooms.--Learn more about the Ellen MacArthur FoundationWatch Bill speaking at the Foundation's Summit21Explore how the circular economy offers a recovery strategy from the impact of the Covid-19 pandemic

We're back! With an episode on lattice-based cryptography, with Professor Chris Peikert of the University of Michigan, David's alma mater. When we recorded this, Michigan football had just beaten Ohio for the first time in a bajillion years, so you get a nerdy coda on college football this time!Transcript: https://share.descript.com/view/El2a4Z7OLsdSlides: https://web.eecs.umich.edu/~cpeikert/pubs/slides-qcrypt.pdfLinks:He Gives C-Sieves on the CSIDH: https://eprint.iacr.org/2019/725Lattice-based Cryptography: https://cims.nyu.edu/~regev/papers/pqc.pdfNIST PQC Competition: https://csrc.nist.gov/Projects/post-quantum-cryptography The 2nd Bar Ilan Winter School on Cryptography Lattice- Based Cryptography and Applications: https://www.youtube.com/playlist?list=PL8Vt-7cSFnw2OmpCmPLLwSx0-Yqb2ptqOA Decade of Lattice Cryptography: https://eprint.iacr.org/2015/939.pdfFind us at:https://twitter.com/scwpodhttps://twitter.com/durumcrustulumhttps://twitter.com/tqbfhttps://twitter.com/davidcadrian

#131** Sponsored by  Gluck Plumbing: 732-523-1836 x 1. **With Prof. Ephraim Kanarfogel discussing the Ohr Zarua (Rav Yitzchak of Vienna, 1180 - 1250)We discussed the Ohr Zarua's background, rebbeim, chiddushim, printing history of the Sefer, and more To purchase "Peering Through the Lattices": https://www.wsupress.wayne.edu/books/detail/peering-through-latticesTo purchase "Brothers From Afar": https://www.wsupress.wayne.edu/books/detail/brothers-afarTo purchase the Machon Yerushalayim edition of Ohr Zarua (or check your local Seforim store): https://www.shopeichlers.com/products/ohr-zarua-3-volume-set/37634

John Horton Conway was one of the most important researchers in the history of mathematics. His genius and boundless curiosity enabled him to make significant  contributions in many diverse areas throughout his lifetime, including number theory, topology, algebra, knot theory, coding theory, and probability. But John Conway was far more than simply a scientific researcher. Through his games, imagination, sense of humor, and willingness to share all that he knew with anyone who would listen, his influence on mathematicians and mathematical enthusiasts alike will no doubt be felt for generations to come. We have four guests for this episode, hosted by Marc Strauss, Publishing Director in Mathematics:Siobhan Roberts is a Canadian science journalist who contributes regularly to the New York Times. She is the author of Genius at Play, The Curious Mind of John Horton Conway. She also wrote a biography of the classical geometer Donald Coxeter, titled King of Infinite Space.Marjorie Senechal is the Louise Wolf Kahn Professor Emerita in Mathematics and History of Science and Technology at Smith College where, in addition to teaching math and history of science, she was the founding director of the Kahn Institute for pan-disciplinary research. Her own research focusses on tilings and crystallography. She is the former editor-in-chief of The Mathematical Intelligencer.Colin Adams is the Thomas T. Read Professor of Mathematics at Williams College. He is the author of numerous mathematics research articles on knot theory and low-dimensional topology, humor columnist for The Mathematical Intelligencer, and author or co-author of ten books, including The Knot Book, Zombies & Calculus and Riot at the Calc Exam and Other Mathematically Bent Stories.Barry Cipra is a freelance mathematics writer based in Northfield, Minnesota. He has been a contributing correspondent for Science magazine and a regular writer for SIAM News. He wrote the first five volumes of What's Happening in the Mathematical Sciences, and is the author of Misteaks... and How to Find Them Before the Teacher Does: A Calculus Supplement. He received a Ph.D. in mathematics from the University of Maryland, College Park.John Conway's book publications with Springer include Sphere Packings, Lattices and Groups and The Book of Numbers.

Julia Hider and Stephanie Hendrixson discuss the benefits and use cases for 3D printed lattices as a replacement for conventional foam materials. Then, they count down Additive Manufacturing's top 10 stories from 2021.   This episode is brought to you by PTXPO.   Mentioned in this episode: Rawlings' REV1X baseball glove featuring 3D printed inserts Carbon's Design Engine for lattice generation HEXR, manufacturer of custom bike helmets Hilos recyclable heels on The Cool Parts Show Aetrex 3D printed insoles on The Cool Parts Show Lubrizol and Colorfabb's VarioShore TPU foaming filament CNC Kitchen's video on VarioShore TPU Additive Manufacturing Media's Top 10 Stories from 2021

Bobbi Mahlab, Chair and Founder of Mahlab and Co-founder of Mentor Walks, shares insights on how to engage with networking, the importance of showing up and sharing, and how purpose drives togetherness.

In this episode Pranoti sits down with Sebastian F. Maehrlein, group leader in Terahertz Structural Dynamics at the Fritz Haber Institute of the Max Planck Society at the time of recording, to take a deeper dive into Sebastian‘s research journey. This vintage episode of the Under the Microscope podcast was originally released on 30.06.2021.

This episode's guest is Sebastian F. Maehrlein, who was a group leader in Terahertz Structural Dynamics at the Fritz Haber Institute of the Max Planck Society at the time of recording. This vintage episode of the Under the Microscope podcast was originally released on 28.06.2021.

References: Galois Theory - Wikipedia https://en.wikipedia.org/wiki/Galois_theory Commutative Ring - Wikipedia https://en.wikipedia.org/wiki/Commutative_ring Commutative Algebra - Wikipedia https://en.wikipedia.org/wiki/Commutative_algebra Commutative Property - Wikipedia https://en.wikipedia.org/wiki/Commutative_property Noncommutative Ring - Wikipedia https://en.wikipedia.org/wiki/Noncommutative_ring Glossary of Ring Theory - Wikipedia https://en.wikipedia.org/wiki/Glossary_of_ring_theory Field - Wikipedia https://en.wikipedia.org/wiki/Field_(mathematics) Module Fundamentals - University of Illinois at Urbana-Champaign https://faculty.math.illinois.edu/~r-ash/Algebra/Chapter4.pdf Linear Transformation (Linear Map) - Wikipedia https://en.wikipedia.org/wiki/Linear_map Vector Space - Wikipedia https://en.wikipedia.org/wiki/Vector_space Scalar - Wikipedia https://en.wikipedia.org/wiki/Scalar_(mathematics) Lattice (Order) - Wikipedia https://en.wikipedia.org/wiki/Lattice_(order) Lattice (Group) - Wikipedia https://en.wikipedia.org/wiki/Lattice_(group) Infimum and Supremum - Wikipedia https://en.wikipedia.org/wiki/Infimum_and_supremum Algebra Over a Field - Wikipedia https://en.wikipedia.org/wiki/Algebra_over_a_field Ring Theory - Wikipedia https://en.wikipedia.org/wiki/Ring_theory Ring - Wikipedia https://en.wikipedia.org/wiki/Ring_(mathematics)

On March 1st, 2021, a curious paper appeared on the Cryptology ePrint Archive: senior cryptographer Claus Peter Schnorr submitted research that claims to use lattice mathematics to improve the fast factoring of integers so much that he was able to completely “destroy the RSA cryptosystem” -- certainly a serious claim. Strangely, while the paper’s ePrint abstract did mention RSA, the paper itself didn’t. Two days later, Schnorr pushed an updated version of the paper, clarifying his method. Does Schnorr’s proposed method for “destroying RSA” hold water, however? Some cryptographers aren’t convinced. Joining us today is Leo Ducas , a tenured researcher at CWI, Amsterdam who specialises in lattice-based cryptography, to help us understand where Schnorr was coming from, whether his results stand on their own, and how the influence of lattice mathematics in applied cryptography has grown over the past decade. Links and papers discussed in the show: * Schnorr's ePrint submission (https://eprint.iacr.org/2021/232) * Leo Ducas's implementation of Schnorr's proposed algorithm in Sage (https://github.com/lducas/SchnorrGate) Music composed by Toby Fox and performed by Sean Schafianski (https://seanschafianski.bandcamp.com/). Special Guest: Léo Ducas.

Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2020.08.19.257774v1?rss=1 Authors: Nguyen, H. C., Melo, A. A., Kruk, J., Frost, A., Gabruk, M. Abstract: Chlorophyll (Chl) biosynthesis, crucial to life on Earth, is tightly regulated because its precursors are phototoxic. In flowering plants, the enzyme Light-dependent Protochlorophyllide OxidoReductase (LPOR) captures photons to catalyze the penultimate reaction: the reduction of a double-bond within protochlorophyllide (Pchlide) to generate chlorophyllide (Chlide). In darkness, LPOR oligomerizes to facilitate photon energy transfer and catalysis. However, the complete 3D structure of LPOR, the higher-order architecture of LPOR oligomers, and the implications of these self-assembled states for catalysis, including how LPOR positions Pchlide and the cofactor NADPH, remain unknown. Here we report the atomic structure of LPOR assemblies by electron cryo-microscopy (cryoEM). LPOR polymerizes with its substrates into helical filaments around constricted lipid bilayer tubes. Portions of LPOR and Pchlide insert into the outer membrane leaflet, targeting the product, Chlide, to the membrane for the final reaction site of chlorophyll biosynthesis. In addition to its crucial photocatalytic role, we show that in darkness LPOR filaments directly shape membranes into high-curvature tubules with the spectral properties of the prolammelar body, whose light-triggered disassembly provides lipids for thylakoid assembly. Our structure of the catalytic site, moreover, challenges previously proposed reaction mechanisms. Together, our results reveal a new and unexpected synergy between photosynthetic membrane biogenesis and chlorophyll synthesis in plants orchestrated by LPOR. Copy rights belong to original authors. Visit the link for more info

Emma looks at giant ionic lattices and metallic bonding for your AP exam. In this episode, she will look at the structure of sodium chloride as well as the different properties associated with bonding in metals. Ideal for preparing you for your AP Chemistry exam. Click here for the full course, or visit this link: http://bit.ly/301Bxii

Topological Phases of Matter 2015

Topological Phases of Matter 2015

Topological Phases of Matter 2015

Marketers are expected to do more without increasing headcount and know how to use marketing tools and technology (MarTech). Change is inevitable, and embracing it can help marketers succeed.  Today’s guests are G5’s Marketing Campaign Manager Celena Canode and Content Marketing Manager Emily Pick.They offer insight on how a hub and spoke content model promotes and delivers marketing content to get major results.G5’s goal is to help clients increase exposure and achieve peak occupancies via digital marketing for self-storage, multifamily, and senior living verticals.  Some of the highlights of the show include: Day-in-the-Life of G5 Marketers: Multi-purpose, do everything, always changing, never concentrate on one task for too long Norm for Marketers: Set aside time to focus; be agile to adapt to the unexpected Open Office Space: Remove distractions, find a place to hide, or work remotely Marketing Strategy: Streamline plans and align tasks with business goals Vertical Leads: Identify pain points, develop tactical side of strategy, and provide value through content and education to overcome challenges Hub and Spoke Model: Distribution plans consider channels, how to share and amplify content, and empower internal teams to appropriately use content Marketing Analytics: G5 uses Salesforce and Pardot to track goals and KPIs G5 selected CoSchedule to consolidate and centralize tasks, schedules, and staff to provide visibility and accountability  Lattices, not Ladders: Are you willing to move and take a different position?  Links: G5 Salesforce Pardot Gartner CoSchedule Academy New CoSchedule Marketing Suite Write a review on iTunes, and send a screenshot of it to receive cool CoSchedule swag!

High above the Isles of Flight, Severea’s Gift, the moon named Del, begins its descent. Below, a strange mix of chaos and quiet as the Mistral react: Some rush towards escape, but others seem all together poised and controlled. Caught in the middle are Hella Varal, Lem King, and Fero Feritas, whose own role in the matter is up for debate. Are they heroes, meant to save the isles from catastrophe? Or simply witnesses to a rebellion in full swing? And how, if at all, can they plant the seeds for future friendship in a moment like this... This week on Spring in Hieron: Neighbors To Be Made PROTECTIVE spells take many forms. Defensive WARDS shift the nature of possibility, prohibiting actions of a forbidden category to create sanctuary spaces, while MIRROR spells reflect back anything--material or otherwise--that attempts to pass it. LATTICES are complex, magical apparati, checking conditional statements against numerous variables and facts apparent before apply some effect. But none of these are effective as a simple BARRIER: Trust me, students, a sturdy wall will keep anything, and anyone, out. -An Excerpt from the Crystalized Lectures of the Wizard Fantasmo Hosted by Austin Walker (@austin_walker) Featuring Ali Acampora (@ali_west), Jack de Quidt (@notquitereal), and Keith J Carberry (@keithjcarberry) Produced by Ali Acampora (@ali_west) Cover Art by Craig Sheldon (@shoddyrobot) A transcription is available for this episode here.A full list of completed transcriptions is available here. Our transcriptions are provided by a fan-organized paid transcription project. If you'd like to join, you can get more information at https://twitter.com/transcript_fatt. Thank you to all of our transcribers!!  

In the Lab this week Andres and Rob go back to Map Masteries to visit Oasis! This time around we bring KarQ Games, a top Support streamer on the GM ladder from Canada to help us out break down how to approach, pick heroes, and get the most of using the map to your advantage! Heads Update: Game Night -- May 25th SPONSORS: Top Score Solutions Ben aka “INeedPeeling” is offering free business consulting in the eSports field. If you are aspiring to coach, starting a team, developing an app or service, trying to boost your subscriber base, or just want to work in eSports, you can visit his website at topscoresolutions.com, find him on Twitter @topscoreEsports, or join his Discord server. Ben has a Masters in Sport Management and business and marketing experience. His services are free, and they will stay that way as long as demand allows it. Omnic Meta: (Homepage) Head on over to keep up with the latest meta trends plus many more insightful articles, all backed up by real data! PC Meta May 17th Reinhardt Up Winston Down Hanzo Up Dva Down OWL Recap now part of Discord! Come join the team on the new dedicated channels to communicate with the hosts and the community! Special Thanks to Diamond Sponsors & New Patrons: Ben K, Britmus, Chrisdaplaya, GoldenSoldierA, GreatRootBear, JanJinkle, Jeffey (Jeff B), Jeff D., Lisome, Neverclutch, Raegh, Roger B., RickyTicky, Shazear, Skantily Clad, TopScore Solutions, & TragicZac. New Patron: DurandaL (Diamond) Oasis University Smaller, more indoors Library Lots of flank routes High central ceiling area High ground just off point Hole in the center for health pack Bookcases and signs for cover Oasis City Center Super open area Tower in the center Jump pad and long curve on each side High ground just off point Cars can kill you off by that side of the map Lattices for cover when approaching Oasis Gardens Open yet narrow until you get to point High ground is a T-shape on top of the point with a central support beam Two side areas are mirrored and tight quarters Underground flank route Mega Health Pack room off point in a tower Small window above high ground in a wall blocking most of the view of the point Lots of things for cover Blue Posts & News: Overwatch Anniversary Event May 22nd (Twitter Link) Developer Update Video 40M Players confirmed All past Brawls return! (Junkenstein’s Revenge, Retribution, Mei’s Snowball Offensive, etc.) All the brawls rotate daily in the Arcade. New Deathmatch Map called Petra Competitive FFA Deathmatch Season (Chateau & Petra maps only) Special Lootbox allows to get new skins and ANY content from past events Two teased Skins are Lightning Tracer and Venom Soldier 76 A new Pirate Junkrat was also teased, but 8 are promised to be legendary. Pink Mercy: $15 Skin & Shirt in the blizzard shop for 100% proceeds to BCRF Also you can get sprays extra Omnic Lab Links: Omnic Lab is now a Twitch Affiliate! Sub now with Twitch/Amazon Prime! Twitter, Facebook, Patreon Twitch, Youtube, MERCH Discord: discord.me/omniclab Email: omniclabpodcast@gmail.com Website: http://www.omniclab.com iTunes, Google Play Music, RSS -->Full Extended Show Notes

Wonder WomanGiftedFoxtailAqua GlobesLinear Types Can Change the WorldIntroduction to Lattices and OrderLattice Functions, Pair Algebras, and Finite-State MachinesCSS AnimationsSemiringMoore machineMealy machineDFANFAREMonad Reader 16The Pumping LemmaLemmings

Werness, B (University of Washington) Tuesday 16 June 2015, 14:00-15:00

In this lecture, Prof. Adams reviews results derived for periodic potential and continues to discuss the energy band structure. The latter part is devoted to the physics of solids.

In this lecture, Prof. Adams discusses the energy structure and wavefunctions under a periodic potential. The energy band structure is derived for a periodic delta potential.

Manolescu, I (Université de Genève) Thursday 23 April 2015, 14:00-15:00

In dieser Arbeit wird die Erzeugung und Untersuchung wechselwirkender Ytterbium-Quantengase mit zwei elektronischen Orbitalen in optischen Gittern präsentiert. Entartete Fermigase aus Ytterbium oder anderen erdalkaliähnlichen Elementen wurden in jüngster Zeit als Modellsysteme für orbitale Phänomene in der Festkörperphysik herangezogen, wie z.B. die Kondoabschirmung, schwere Fermionen und kolossalen magnetischen Widerstand. Für diese Gase wurde des Weiteren eine hohen SU(N) Symmetrie vorhergesagt, die aus der starken Entkopplung des Kernspins resultiert, und die Erzeugung neuer exotischer Aggregatzustände ermöglicht. Das SU(N) Hubbard-Modell mit zwei Orbitalen sowie interorbitaler Spinaustauschwechselwirkung lässt sich mit Hilfe der beiden niedrigsten (meta-)stabilen elektronischen Zustände realisieren, welche dabei die Rolle der Elektronen aus unterschiedlichen Orbitalen eines Festkörpers einnehmen. Die Wechselwirkungen in einer entarteten Mischung verschiedener Spinzustände von Yb-173 mit zwei Orbitalen werden durch die Anregung in den metastabilen Zustand in einem zustandsunabhängigen Gitter untersucht. Alle Streukanäle für die zwei Orbitale werden charakterisiert und die SU(N=6)-Symmetrie wird innerhalb der experimentellen Unsicherheiten nachgewiesen. Von herausragender Bedeutung ist der Nachweis einer sehr starken Spinaustauschwechselwirkung zwischen den zwei Orbitalen, wobei der dazugehörige Austauschprozess anhand dynamischen Ausgleichs der Spinpolarizierung zwischen verschiedenen Orbitalen beobachtet wird. Ermöglicht wird dies durch die Implementierung präzisionsspektroskopischer Verfahren sowie die vollständige, kohärente Kontrolle der Besetzung des metasabilen Zustandes. Die Verwirklichung eines SU(N)-symmetrischen Gases mit Spinaustauschwechselwirkung, des grundlegenden Bausteins für orbitalen Quantenmagnetismus, ist ein entscheidender Schritt in Richtung der Simulation von wichtigen Vielteilchenmodellen, wie dem Kondo- Gittermodell.

Diese Doktorarbeit befasst sich mit der Erzeugung von künstlichen Magnetfeldern für ultrakalte Atome in optischen Gittern mithilfe von Laser-induziertem Tunneln sowie mit der ersten experimentellen Bestimmung der Chernzahl in einem nicht-elektronischen System. Kalte Atome in optischen Gittern lassen sich experimentell sehr gut kontrollieren, was sie zu guten Modellsystemen für die Simulation von Festkörpern macht, wobei die Atome die Rolle der Elektronen übernehmen. Allerdings können Magnetfeldeffekte in diesen Systemen nicht direkt im Experiment simuliert werden, da die Atome elektrisch neutral sind, weshalb auf sie keine Lorentzkraft wirkt. Im Rahmen dieser Doktorarbeit wird eine neue Methode vorgestellt künstliche Magnetfelder basierend auf Laser-induziertem Tunneln zu erzeugen um somit die Physik geladener Teilchen in realen Magnetfeldern nachzuahmen. Dabei verursachen Laserstrahlen eine periodische Modulation der einzelnen Gitterplätze, deren Phase von der Gitterposition abhängt und dadurch zu komplexen Tunnelkopplungen führt. Ein Atom, welches sich entlang einer geschlossenen Bahn in diesem System bewegt, erfährt eine Phase, die als Aharonov-Bohm-Phase eines geladenen Teilchens in einem Magnetfeld interpretiert werden kann. Das modulierte Gitter wird durch einen zeitabhängigen Hamilton-Operator beschrieben, der typischerweise durch einen effektiven zeitunabhängigen Floquet Hamilton-Operator genähert wird. Im Rahmen dieser Arbeit wird darüber hinaus die vollständige Zeitabhängigkeit innerhalb einer Modulationsperiode beschrieben und mit den experimentellen Daten verglichen. Mithilfe des Laser-induzierten Tunnelns wurden alternierende sowie gleichgerichtete Magnetfelder im Experiment erzeugt, wobei letztere eine Realisierung des Harper-Hofstadter-Modells für einen Fluss Phi=pi/2 pro Gittereinheitszelle darstellen. Durch die Verwendung eines zusätzlichen Pseudospin-Freiheitsgrades konnte zudem der Spin-Hall-Effekt in einem optischen Gitter beobachtet werden. Unter Benutzung der einzigartigen Detektions- und Manipulationstechniken eines zweidimensionalen Übergitters konnte die Stärke und Verteilung des künstlichen Magnetfeldes auf lokaler Ebene durch die Beobachtung von Zyklotronorbits experimentell bestimmt werden. Die Bandstruktur in einem periodischen Potential mit externem Magnetfeld weist interessante topologische Eigenschafen auf, die durch Chernzahlen beschrieben werden, welche beispielsweise dem Quanten-Hall-Effekt zugrunde liegen. Um topologische Bandeigenschaften mit kalten Atomen beobachten zu können, wurden die genannten experimentellen Techniken weiterentwickelt. Mit einem neuen Aufbau, der nur auf optischen Potentialen beruht, konnte erstmals die Chernzahl in einem nicht-elektronischen System bestimmt werden. Die vorgestellten experimentellen Methoden eröffnen einzigartige Möglichkeiten die Eigenschaften von topologischen Materialien mit kalten Atomen in optischen Gittern zu untersuchen. Die Techniken wurden mit bosonischen Atomen implementiert, sie lassen sich allerdings ohne weiteres auch auf fermionische Systeme anwenden.

Das Gebiet der Nichtgleichgewichtsdynamik stark korrelierter Quantensysteme beinhaltet eine Vielzahl interessanter Fragestellungen, erweist sich dabei allerdings oftmals als schwer zugänglich für gängige numerische und analytische mathematische Methoden. In den letzten Jahren hat sich durch die experimentelle Realisierung gut kontrollierbarer quantenmechanischer Systeme die Möglichkeit eröffnet, Experimente als Quantensimulatoren für das Verhalten komplexer Vielteilchensysteme zu benutzen. Ultrakalte Atome in optischen Gittern eignen sich hervorragend als Simulatoren für simple Festkörpersysteme, da sich sämtliche Parameter der zugrunde liegenden Hamiltonoperatoren präzise kontrollieren lassen und der Zustand der Systeme mit einer Vielzahl an Messmethoden untersucht werden kann. In unseren Experimenten realisieren wir Bose-Hubbard Systeme durch ultrakalte 39K Atome in blau verstimmten optischen Gittern. Zusätzliche optische Dipolpotenziale und magnetische Feshbach-Resonanzen erlauben es uns dabei, die Parameter der Systeme zu jedem Zeitpunkt beliebig zu variieren. Dadurch sind die von uns erzeugten Systeme in besonderem Maße dazu geeignet, Nichtgleichgewichtseffekte zu untersuchen. Unser Hauptaugenmerk liegt auf der Untersuchung der Expansionsdynamik wechselwirkender Atome in homogenen Gittern. Wir beginnen unsere Experimente mit einem Anfangszustand im tiefen Gitter, der aus lokalisierten Atomen auf maximal einfach besetzten Gitterplätzen besteht. Durch gleichzeitiges schnelles Verringern der Gittertiefe und der externen Potenziale werden die Atome in ein homogenes Gitter entlassen und die Zeitentwicklung ihrer Dichteverteilung wird durch Absorptionsabbildungen festgehalten. Es zeigt sich, dass sowohl die Wechselwirkung zwischen den Atomen als auch die Dimensionalität der Gitter einen starken Einfluss auf die Dynamik haben. In allen integrablen Grenzfällen des Bose-Hubbard Modells verhalten sich die Atome ballistisch und expandieren mit hoher Geschwindigkeit, doch sobald sich das System außerhalb der integrablen Regime befindet verringert sich die Expansionsgeschwind-igkeit drastisch. Diese verringerte Geschwindigkeit geht einher mit der Ausbildung charakteristischer bimodaler Dichteverteilungen, die auf eine diffusive Dynamik schließen lassen. Für stark wechselwirkende Systeme können wir einen dimensionalitätsabhängigen Übergang zwischen ballistischer Dynamik im 1D hard-core-regime und diffusiver Dynamik im 2D Fall beobachten sowie eine starke Verringerung der Expansionsgeschwindigkeit, wenn der Anfangszustand des Systems mehrfach besetzte Gitterplätze enthält. Des Weiteren beobachten wir die Erzeugung solcher Mehrfachbesetzungen nach dem Entlassen der Atome, deren schnelle Entwicklung auf eine lokale Relaxationsdynamik hin zu quasistationären Werten deuten lässt. Als Letztes untersuchen wir die Entwicklung der Quasiimpulsverteilung stark wechselwirkender expandierender Atome, die laut theoretischer Vorhersagen eine vorübergehende Quasikondensation zeigen sollen, bei der sich scharfe lokale Maxima in der Quasiimpulsverteilung bei endlichen Quasiimpulsen bilden. Wir beobachten die Entstehung nicht-thermischer Quasiimpulsverteilungen die Maxima an den vor-hergesagten Positionen zeigen. Allerdings sind die von uns beobachteten Maxima wesentlich breiter als die vorhergesagten und wir diskutieren eine Reihe möglicher Erklärungen für diese Verbreiterung sowie Vorschläge zur Verbesserung zukünftiger Experimente.

Chair: M.Ojeda-Aciego

Chair: M.Huchard

Blake, M (University of Cambridge) Friday 27 September 2013, 11:30-12:30

Kupiainen, A (Helsinki) Thursday 18 September 2008, 14:00-15:00

The phase behavior of a two-dimensional colloidal system subject to a commensurate triangular potential is investigated. We consider the integer number of colloids in each potential minimum as rigid composite objects with effective discrete degrees of freedom. It is shown that there is a rich variety of phases including "herringbone" and "Japanese 6 in 1" phases. The ensuing phase diagram and phase transitions are analyzed analytically within variational mean-field theory and supplemented by Monte Carlo simulations. Consequences for experiments are discussed.

Abstract: A quiver is simply a directed graph. By a representation of a quiver we mean a collection of vector spaces indexed by the nodes of the graph, together with linear maps corresponding to the arrows of the graph. We will introduce the notions of simple and indecomposable representations of a quiver (which may be considered part of the Abelian category structure of quiver representations). Gabriel asked which quivers have "finite representation type", that is, which quivers have finitely many indecomposables, and discovered a beautiful connection to Lie theory: The quivers with this property are precisely those whose underlying undirected graph is the Dynkin diagram of a Lie algebra. Moreover the indecomposable objects themselves are indexed by the roots of the associated Lie algebra. We will give an account of this theorem.