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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240209T140000
DTEND;TZID=America/New_York:20240209T150000
DTSTAMP:20260715T193316
CREATED:20240125T175054Z
LAST-MODIFIED:20240207T211016Z
UID:10001362-1707487200-1707490800@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series | David Ben-Zvi
DESCRIPTION:Arithmetic Quantum Field Theory Program Lecture Series\nSpeaker: David Ben-Zvi \nTopic: The Langlands program via arithmetic QFT \nAbstract: Structures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-david-ben-zvi-2924/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240209T153000
DTEND;TZID=America/New_York:20240209T163000
DTSTAMP:20260715T193316
CREATED:20240125T175133Z
LAST-MODIFIED:20240207T210956Z
UID:10001363-1707492600-1707496200@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series | David Ben-Zvi
DESCRIPTION:Arithmetic Quantum Field Theory Program Lecture Series\nSpeaker: David Ben-Zvi \nTopic: The Langlands program via arithmetic QFT \nAbstract: Structures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-david-ben-zvi-2924_pm/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240212T163000
DTEND;TZID=America/New_York:20240212T173000
DTSTAMP:20260715T193316
CREATED:20240201T145702Z
LAST-MODIFIED:20240209T210827Z
UID:10000807-1707755400-1707759000@cmsa.fas.harvard.edu
SUMMARY:Machine Learning and Scientific Computing: There is plenty of room in the middle
DESCRIPTION:Colloquium \nSpeaker: Petros Koumoutsakos\, Harvard SEAS \nTitle: Machine Learning and Scientific Computing: There is plenty of room in the middle \nAbstract: Over the last thirty years we have experienced more than a billion-fold increase in hardware capabilities and a dizzying pace of acquiring and transmitting massive amounts of data. Scientific Computing and\, more lately\, Artificial Intelligence (AI) has been key beneficiaries of these advances. In this talk I would outline the need for bridging the decades long advances in Scientific Computing with those of AI. I will use examples from fluid mechanics to argue for forming alloys of AI and simulations for their prediction and control. I will present novel algorithms for learning the Effective Dynamics (LED) of complex systems and a fusion of multi- agent reinforcement learning and scientific computing (SciMARL) for modeling and control of turbulent flows. I will also show our recent work on Optimizing a Discrete Loss (ODIL) that outperforms popular techniques such as PINNs by several orders of magnitude. \nI will juxtapose successes and failures and argue that the proper fusion of scientific computing and AI expertise are essential to advance scientific frontiers. \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-21224/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-02.12.2024_Page_1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240214T140000
DTEND;TZID=America/New_York:20240214T150000
DTSTAMP:20260715T193316
CREATED:20240102T164110Z
LAST-MODIFIED:20240130T194619Z
UID:10000151-1707919200-1707922800@cmsa.fas.harvard.edu
SUMMARY:What Algorithms can Transformers Learn? A Study in Length Generalization
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Preetum Nakkiran\, Apple \nTitle: What Algorithms can Transformers Learn? A Study in Length Generalization \nAbstract: Large language models exhibit many surprising “out-of-distribution” generalization abilities\, yet also struggle to solve certain simple tasks like decimal addition. To clarify the scope of Transformers’ out-of-distribution generalization\, we isolate this behavior in a specific controlled setting: length-generalization on algorithmic tasks. Eg: Can a model trained on 10 digit addition generalize to 50 digit addition? For which tasks do we expect this to work? \nOur key tool is the recently-introduced RASP language (Weiss et al 2021)\, which is a programming language tailor-made for the Transformer’s computational model. We conjecture\, informally\, that: Transformers tend to length-generalize on a task if there exists a short RASP program that solves the task for all input lengths. This simple conjecture remarkably captures most known instances of length generalization on algorithmic tasks\, and can also inform design of effective scratchpads. Finally\, on the theoretical side\, we give a simple separating example between our conjecture and the “min-degree-interpolator” model of learning from Abbe et al. (2023). \nJoint work with Hattie Zhou\, Arwen Bradley\, Etai Littwin\, Noam Razin\, Omid Saremi\, Josh Susskind\, and Samy Bengio. To appear in ICLR 2024. \n 
URL:https://cmsa.fas.harvard.edu/event/nt21424/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-02.14.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240214T160000
DTEND;TZID=America/New_York:20240214T173000
DTSTAMP:20260715T193316
CREATED:20240212T162016Z
LAST-MODIFIED:20240212T211844Z
UID:10002103-1707926400-1707931800@cmsa.fas.harvard.edu
SUMMARY:Quantum Algebra of Chern-Simons Matrix Model and Large N Limit
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Sen Hu (Shanghai Institute for Mathematics and Interdisciplinary Study) \nTitle: Quantum Algebra of Chern-Simons Matrix Model and Large N Limit \nAbstract: In this talk we discuss the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed by Susskind and Polychronakos to describe electrons in fractional quantum Hall effects. We establish the commutation relations for its generators and study the large N limit of its representation. We show that the large N limit algebra is isomorphic to the uniform in N algebra studied by Costello\, which is conjecturally isomorphic to the deformed double current algebra studied by Guay. Under appropriate scaling limit\, we show that the large N limit algebra degenerates to a Lie algebra which admits a surjective map to the affine Lie algebra of u(p). This leads to a complete proof of the large N emergence of the u(p) current algebra as proposed by Dorey\, Tong and Turner. This also suggests a rigorous derivation of edge excitation of a fractional quantum Hall droplet. This is a joint work with Si Li\, Dongheng Ye and Yehao Zhou (arXiv: 2308.14046).
URL:https://cmsa.fas.harvard.edu/event/qm-21424/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter,Seminars
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.14.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240216T120000
DTEND;TZID=America/New_York:20240216T130000
DTSTAMP:20260715T193316
CREATED:20240213T164834Z
LAST-MODIFIED:20240215T182409Z
UID:10000671-1708084800-1708088400@cmsa.fas.harvard.edu
SUMMARY:Symmetries and algebraicity in the flux landscape
DESCRIPTION:CMSA Member Seminar \nSpeaker: Damian van de Heisteeg (Harvard CMSA) \nTitle: Symmetries and algebraicity in the flux landscape \nAbstract: In this talk I consider potentials coming from fluxes in string theory. The minima of these potentials trace out special loci in the moduli space of Calabi-Yau manifolds. I discuss the structure that underlies these minima from a Hodge-theoretic point of view. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-21624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Member-Seminar-02.15.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240220T123000
DTEND;TZID=America/New_York:20240220T133000
DTSTAMP:20260715T193316
CREATED:20240206T174758Z
LAST-MODIFIED:20240425T205533Z
UID:10000840-1708432200-1708435800@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar 2/20/2024
DESCRIPTION:CMSA Q and A Seminar\n\nSpeaker: Solomon Friedberg\, Boston College\n\nQuestion: What is the Langlands program?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa-22024/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240221T140000
DTEND;TZID=America/New_York:20240221T150000
DTSTAMP:20260715T193316
CREATED:20240105T034012Z
LAST-MODIFIED:20240223T152643Z
UID:10001113-1708524000-1708527600@cmsa.fas.harvard.edu
SUMMARY:Computers and mathematics in partial differential equations: New developments and challenges
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Javier Gomez Serrano\, Brown University \nTitle: Computers and mathematics in partial differential equations: new developments and challenges \nAbstract: In this talk I will address the interaction between traditional and more modern mathematics and how computers have helped over the last decade providing rigorous (computer-assisted) proofs in the context of partial differential equations. I will also describe new exciting future directions in the field. No background is assumed.
URL:https://cmsa.fas.harvard.edu/event/nt-22124/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-02.21.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240223T120000
DTEND;TZID=America/New_York:20240223T130000
DTSTAMP:20260715T193316
CREATED:20240123T192604Z
LAST-MODIFIED:20240220T160057Z
UID:10000673-1708689600-1708693200@cmsa.fas.harvard.edu
SUMMARY:Integrability and Hidden Symmetries in Black Hole Dynamics
DESCRIPTION:CMSA Member Seminar \nSpeaker: Uri Kol (Harvard CMSA) \nTitle: Integrability and Hidden Symmetries in Black Hole Dynamics \nAbstract: The last decade has produced a number of remarkable discoveries\, such as the first direct observation of gravitational waves by the LIGO/Virgo collaboration and the first black hole image taken by the Event Horizon Telescope. These discoveries mark the beginning of a new precision era in black hole physics\, which is expected to develop further by future experiments such as LISA\, the Einstein Telescope and Cosmic Explorer. \n  \nIn the era of precision black hole measurements\, there is a need for precision theoretical methods and accurate predictions. In this talk I will describe an integrable sector of the gravitational scattering problem – analogous to the hydrogen atom in quantum mechanics – in which exact predictions can be made\, and the implications for astrophysical black holes and binary mergers.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-22324/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Member-Seminar-02.23.24.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240226T130000
DTEND;TZID=America/New_York:20240226T140000
DTSTAMP:20260715T193316
CREATED:20240208T143204Z
LAST-MODIFIED:20240221T193940Z
UID:10001772-1708952400-1708956000@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Omer Offen (Brandeis) \nTitle: Period integrals of automorphic forms and the residue method \nAbstract: I will discuss some aspects of period integrals of automorphic forms via examples. In particular\, the residue method of Jacquet and Rallis and its recent application\, joint with Friedberg and Ginzburg\, to study new periods on the residual automorphic spectrum of the symplectic group.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-22624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240226T163000
DTEND;TZID=America/New_York:20240226T173000
DTSTAMP:20260715T193316
CREATED:20240130T150524Z
LAST-MODIFIED:20240220T171315Z
UID:10000809-1708965000-1708968600@cmsa.fas.harvard.edu
SUMMARY:Factorization algebras in quite a lot of generality
DESCRIPTION:Colloquium \nSpeaker: Clark Barwick\, University of Edinburgh \nTitle: Factorization algebras in quite a lot of generality \nAbstract: The objects of arithmetic geometry are not manifolds. Some concepts from differential geometry admit analogues in arithmetic\, but they are not straightforward. How then can we hope to make precise sense of quantum field theories on these objects? I will propose the beginnings of a mathematical framework via a general theory of factorization algebras. A new feature is a subtle piece of additional structure on our objects – what I call a world-structure – that is ordinarily left implicit.
URL:https://cmsa.fas.harvard.edu/event/colloquium-22624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-02.26.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240227T123000
DTEND;TZID=America/New_York:20240227T133000
DTSTAMP:20260715T193316
CREATED:20240226T200617Z
LAST-MODIFIED:20240425T205519Z
UID:10000842-1709037000-1709040600@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar 2/27/2024
DESCRIPTION:CMSA Q&A Seminar\n\nSpeaker: Dan Freed\n\nQuestion: What are Higgs bundles?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa-22724/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240227T140000
DTEND;TZID=America/New_York:20240227T150000
DTSTAMP:20260715T193316
CREATED:20240221T193947Z
LAST-MODIFIED:20240221T194226Z
UID:10002784-1709042400-1709046000@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Wei Zhang (MIT) \nTitle: Shtuka special cycles and their generating series
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-22724/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240227T190300
DTEND;TZID=America/New_York:20240227T190300
DTSTAMP:20260715T193316
CREATED:20240227T105503Z
LAST-MODIFIED:20240227T105503Z
UID:10002875-1709060580-1709060580@cmsa.fas.harvard.edu
SUMMARY:10-27-2016 Homological Mirror Symmetry Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-27-2016-homological-mirror-symmetry-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240301T110000
DTEND;TZID=America/New_York:20240301T120000
DTSTAMP:20260715T193316
CREATED:20240226T154224Z
LAST-MODIFIED:20240226T154224Z
UID:10002871-1709290800-1709294400@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Chen Wan\, Rutgers Newark \nTitle: Some examples of the relative Langlands duality \nAbstract: In this talk I will discuss some examples of the relative Langlands duality (introduced by Ben-Zvi—Sakellaridis—Venkatesh) for strongly tempered spherical varieties. In some cases\, I will introduce a relative trace formula comparison for the models and prove the fundamental lemma/smooth transfer. This is a joint work with Zhengyu Mao and Lei Zhang.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-3124/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240301T120000
DTEND;TZID=America/New_York:20240301T130000
DTSTAMP:20260715T193316
CREATED:20240123T192912Z
LAST-MODIFIED:20240227T161522Z
UID:10000675-1709294400-1709298000@cmsa.fas.harvard.edu
SUMMARY:Contract Design in Combinatorial Settings
DESCRIPTION:CMSA Member Seminar \nSpeaker: Tomer Ezra (Harvard CMSA) \nTitle: Contract Design in Combinatorial Settings \nAbstract: We study two combinatorial settings of the contract design problem\, in which a principal wants to delegate the execution of a costly task. In the first setting\, the principal delegates the task to an agent that can take any subset of a given set of unobservable actions\, each of which has an associated cost. The principal receives a reward which is a combinatorial function of the actions taken by the agent. In the second setting\, we study the single-principal multi-agent contract problem\, in which the principal motivates a team of agents to exert effort toward a given task. We design (approximately) optimal algorithms for both settings along with impossibility results for various classes of combinatorial functions. \nThis talk is based on joint works with Paul Duetting\, Michal Feldman\, Thomas Kesselheim and Maya Schlesinger.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-3124/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Member-Seminar-03.01.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240304T163000
DTEND;TZID=America/New_York:20240304T173000
DTSTAMP:20260715T193316
CREATED:20240130T150912Z
LAST-MODIFIED:20240228T213450Z
UID:10000810-1709569800-1709573400@cmsa.fas.harvard.edu
SUMMARY:Strong bounds for arithmetic progressions
DESCRIPTION:Colloquium \nSpeaker: Raghu Meka (UCLA) \nTitle: Strong bounds for arithmetic progressions \nAbstract: Suppose you have a set S of integers from {1\,2\,…\,N} that contains at least N / C elements. Then for large enough N\, must S contain three equally spaced numbers (i.e.\, a 3-term arithmetic progression)? \nIn 1953\, Roth showed this is the case when C is roughly (log log N). Behrend in 1946 showed that C can be at most exp(sqrt(log N)). Since then\, the problem has been a cornerstone of the area of additive combinatorics. Following a series of remarkable results\, a celebrated paper from 2020 due to Bloom and Sisask improved the lower bound on C to C = (log N)^(1+c) for some constant c > 0. \nThis talk will describe a new work showing that C can be much closer to Behrend’s construction. Based on joint work with Zander Kelley.
URL:https://cmsa.fas.harvard.edu/event/colloquium-3424/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-03.04.2024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240305T123000
DTEND;TZID=America/New_York:20240305T133000
DTSTAMP:20260715T193316
CREATED:20240129T171138Z
LAST-MODIFIED:20240425T205458Z
UID:10000843-1709641800-1709645400@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar 3/5/2024
DESCRIPTION:CMSA Q and A Seminar\n\nSpeaker: Cumrun Vafa\n\nQuestion: What is swampland?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_35254/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240305T123000
DTEND;TZID=America/New_York:20240305T133000
DTSTAMP:20260715T193316
CREATED:20240304T180301Z
LAST-MODIFIED:20240813T155641Z
UID:10000847-1709641800-1709645400@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar 3/5/2024
DESCRIPTION:CMSA Q&A Seminar\n\nSpeaker: Yannai Gonczarowski\, Harvard University\n\nQuestion: What do people mean when they say ‘the intersection between theoretical computer science and economic theory’?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa-3524/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240306T140000
DTEND;TZID=America/New_York:20240306T150000
DTSTAMP:20260715T193316
CREATED:20240108T153449Z
LAST-MODIFIED:20240306T221235Z
UID:10001129-1709733600-1709737200@cmsa.fas.harvard.edu
SUMMARY:LILO: Learning Interpretable Libraries by Compressing and Documenting Code
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Gabe Grand\, MIT CSAIL and Dept. of EE&CS \nTitle: LILO: Learning Interpretable Libraries by Compressing and Documenting Code \nAbstract: While large language models (LLMs) now excel at code generation\, a key aspect of software development is the art of refactoring: consolidating code into libraries of reusable and readable programs. In this paper\, we introduce LILO\, a neurosymbolic framework that iteratively synthesizes\, compresses\, and documents code to build libraries tailored to particular problem domains. LILO combines LLM-guided program synthesis with recent algorithmic advances in automated refactoring from Stitch: a symbolic compression system that efficiently identifies optimal lambda abstractions across large code corpora. To make these abstractions interpretable\, we introduce an auto-documentation (AutoDoc) procedure that infers natural language names and docstrings based on contextual examples of usage. In addition to improving human readability\, we find that AutoDoc boosts performance by helping LILO’s synthesizer to interpret and deploy learned abstractions. We evaluate LILO on three inductive program synthesis benchmarks for string editing\, scene reasoning\, and graphics composition. Compared to existing neural and symbolic methods – including the state-of-the-art library learning algorithm DreamCoder – LILO solves more complex tasks and learns richer libraries that are grounded in linguistic knowledge.
URL:https://cmsa.fas.harvard.edu/event/nt-3624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-03.06.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240307T133000
DTEND;TZID=America/New_York:20240307T143000
DTSTAMP:20260715T193316
CREATED:20240306T144722Z
LAST-MODIFIED:20240318T143738Z
UID:10002906-1709818200-1709821800@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: An Huang (Brandeis) \nTitle: Tate’s thesis and p-adic strings \nAbstract: I shall explain the relation between a family of deformations of genus zero p-adic string worldsheet action and Tate’s thesis\, which in particular\, gives rise to an attempt of physically deriving quadratic reciprocity. I shall then propose a genus one p-adic string worldsheet action\, where the key is an explicit definition of a p-adic Laplacian operator on a Tate curve\, and the computation of its Green’s function. I shall also mention a very recent attempt of developing a Lorentzian version of the p-adic worldsheet action.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-3724/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240307T150000
DTEND;TZID=America/New_York:20240307T160000
DTSTAMP:20260715T193316
CREATED:20240205T204006Z
LAST-MODIFIED:20240306T155525Z
UID:10001532-1709823600-1709827200@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: John Francis (Northwestern) \nTitle: Integrating braided categories over 3-manifolds \nAbstract: I’ll describe a form of factorization homology\, which gives an invariant of framed 3-manifolds given as input a rigid braided-monoidal category with duals. More generally\, the construction gives an invariant of framed n-manifolds from an E_{n-1}-monoidal category with duals. This construction relies on a form of the tangle hypothesis\, that a dualizable object in an E_{n-1}-monoidal category uniquely determines a functor from the category of tangles in n-space. This is joint work with David Ayala.
URL:https://cmsa.fas.harvard.edu/event/aqft-seminar-series-3724/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240308T120000
DTEND;TZID=America/New_York:20240308T130000
DTSTAMP:20260715T193316
CREATED:20240213T165030Z
LAST-MODIFIED:20240307T170714Z
UID:10000677-1709899200-1709902800@cmsa.fas.harvard.edu
SUMMARY:Symmetry in quantum field theory
DESCRIPTION:CMSA Member Seminar \nSpeaker: Dan Freed (Harvard Mathematics and CMSA) \nTitle: Symmetry in quantum field theory \nAbstract: In joint work with Greg Moore and Constantin Teleman we show how ideas and techniques in topological field theory apply to the study of symmetry in quantum field theory. I will discuss how this came about\, beginning with some discussion of symmetry in mathematics more generally\, and give some examples.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-3824/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Member-Seminar-03.08.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240308T130000
DTEND;TZID=America/New_York:20240308T140000
DTSTAMP:20260715T193316
CREATED:20240205T203920Z
LAST-MODIFIED:20240306T151121Z
UID:10001769-1709902800-1709906400@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Dihua Jiang (U Minnesota) \nTitle: Shalika Periods: Functoriality and Arithmetic \nAbstract: Shalika periods of automorphic forms were first used by H. Jacquet and J. Shalika (1990) in their construction of global zeta integrals for exterior square L-functions of GL(2n). They were also used by S. Friedberg and H. Jacquet (1993) in their construction of global zeta integrals for the standard L-functions with connections to the linear periods. A. Ash and D. Ginzburg (1994) used them in their study of p-adic L-functions of GL(2n). In this talk\, we will first review the implication of the Shalika periods to the Langlands functoriality and the connections with automorphic descents and theta correspondence. Then we turn to my recent work joint with B. Sun and F. Tian on an application of Shalika periods to algebraicity of critical L-values of cuspidal automorphic of GL(2n) of symplectic type.
URL:https://cmsa.fas.harvard.edu/event/aqft-seminar-series-3824pm/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240315T114500
DTEND;TZID=America/New_York:20240315T124500
DTSTAMP:20260715T193316
CREATED:20240229T143430Z
LAST-MODIFIED:20240312T141746Z
UID:10002885-1710503100-1710506700@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Baiying Liu (Purdue) \nTitle: Recent progress on certain problems related to local Arthur packets of classical groups \nAbstract: In this talk\, I will introduce recent progress on certain problems related to local Arthur packets of classical groups. First\, I will introduce a joint work with Freydoon Shahidi towards Jiang’s conjecture on the wave front sets of representations in local Arthur packets of classical groups\, which is a natural generalization of Shahidi’s conjecture\, confirming the relation between the structure of wave front sets and the local Arthur parameters. Then\, I will introduce a joint work with Alexander Hazeltine and Chi-Heng Lo on the intersection problem of local Arthur packets for symplectic and split odd special orthogonal groups\, with applications to the Enhanced Shahidi’s conjecture\, the closure relation conjecture\, and the conjectures of Clozel on unramified representations and on unramified components of automorphic representations. This intersection problem also has been worked out independently at the same time by Hiraku Atobe. In a recent joint work with Alexander Hazeltine\, Chi-Heng Lo\, and Freydoon Shahidi\, we made an upper bound conjecture on wavefront sets of admissible representations of connected reductive groups. In the last part of my talk\, I will introduce our recent progress towards this conjecture.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-31524/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240315T141500
DTEND;TZID=America/New_York:20240315T153000
DTSTAMP:20260715T193316
CREATED:20240313T152145Z
LAST-MODIFIED:20240318T143634Z
UID:10002910-1710512100-1710516600@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Tasho Kaletha (University of Michigan) \nTitle: Covers of reductive groups and functoriality \nAbstract: When studying problems arising from Langlands’ functoriality principle\, one often encounters groups that are extensions of complex reductive groups by Galois groups\, but that do not necessarily satisfy all properties to be L-groups of reductive groups. We will show\, in the case of a local base field F\, that such group can be understood as L-groups of covers of reductive groups. This generalizes to the case of arbitrary local fields work of Adams–Vogan for real groups. These covers\, for a fixed connected reductive group G\, can be understood either as arising from a certain “universal” cover of the topological group G(F) by a certain “fundamental” group \tilde\pi_1(G). We will present two concrete applications of this\, one that gives a characterization of the local Langlands correspondence for supercuspidal L-parameters when p is sufficiently large\, and one to the construction of transfer factors in the theory of endoscopy.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-31524-2/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240318T130000
DTEND;TZID=America/New_York:20240318T150000
DTSTAMP:20260715T193316
CREATED:20240314T151808Z
LAST-MODIFIED:20240318T143625Z
UID:10002911-1710766800-1710774000@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Xinwen Zhu (Stanford) \nTitle: The tame categorical local Langlands correspondence. \nAbstract: I will discuss a conjectural categorical form of the local Langlands correspondence for p-adic groups and establish the tame part of such correspondence (currently for unramified groups with connected center\, and for Q_l-coefficients). I will also explain how to extract a (n enhanced) discrete Langlands parameter for depth zero supercuspidal representations from the categorical equivalence.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-31824/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240318T163000
DTEND;TZID=America/New_York:20240318T173000
DTSTAMP:20260715T193316
CREATED:20240130T151005Z
LAST-MODIFIED:20240308T200603Z
UID:10000812-1710779400-1710783000@cmsa.fas.harvard.edu
SUMMARY:Koszul duality & twisted holography for asymptotically flat spacetimes
DESCRIPTION:Colloquium \nSpeaker: Natalie Paquette\, University of Washington \nTitle: Koszul duality & twisted holography for asymptotically flat spacetimes \nAbstract: Koszul duality has been understood in recent years to characterize order-type defects in twists of supersymmetric field theories. This notion has been generalized\, from a physical point of view\, by studying couplings between D-branes and closed string theories in the topological string. Computing the D-brane backreaction\, and studying the resulting open/closed string duality\, is the purview of the twisted holography program. Twisted holography seeks to study supersymmetric sectors of the AdS/CFT correspondence using these methods\, and leverage the appropriate generalization of Koszul duality to elucidate the bulk/boundary map. When applying these methods to a topological string configuration on twistor space\, one can construct an instance of twisted holography in which a 2d chiral algebra\, supported on the “celestial sphere”\, is dual to a 4d theory in an asymptotically flat spacetime. This is the first such top-down example of holography in a 4d asymptotically flat spacetime. This talk describes joint work done\, variously\, with Kevin Costello\, Brian Williams\, and Atul Sharma.
URL:https://cmsa.fas.harvard.edu/event/colloquium-31824/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-03.18.2024.docx-2_Page_1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240319T123000
DTEND;TZID=America/New_York:20240319T133000
DTSTAMP:20260715T193316
CREATED:20240206T175020Z
LAST-MODIFIED:20240425T205446Z
UID:10000845-1710851400-1710855000@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar 3/19/2024
DESCRIPTION:CMSA Q and A Seminar\n\nSpeaker: Arthur Jaffe\, Harvard University\n\nQuestion: What is mathematical picture language?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa-31924/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240320T110000
DTEND;TZID=America/New_York:20240320T121500
DTSTAMP:20260715T193316
CREATED:20240313T144657Z
LAST-MODIFIED:20240318T143700Z
UID:10002909-1710932400-1710936900@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Stephen D. Miller (Rutgers University) \nTitle: What 4-graviton scattering amplitudes had to say about the unitary dual \nAbstract: I’ll give an update on the problem of describing all unitary representations of a Lie group\, including joint work with Michael Green and Pierre Vanhove that used intuition from string theory to show the unitarity of the “next to minimal” representation of E8\, and more recent work with Joe Hundley and Jeff Adams\, Marc van Leeuwen\, and David Vogan.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-32024/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
END:VCALENDAR