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  • Breaking ergodicity: quantum scars and regular eigenstates

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    https://youtu.be/AKZ4O0ZUrPo Topological Quantum Matter Seminar Speaker: Ceren Dag, Harvard Title: Breaking ergodicity: quantum scars and regular eigenstates Abstract: Quantum many-body scars (QMBS) consist of a few low-entropy eigenstates in an otherwise chaotic many-body spectrum and can weakly break ergodicity resulting in robust oscillatory dynamics. The notion of QMBS follows the original single-particle scars introduced within the context of […]

  • An exploration of infinite games—infinite Wordle and the Mastermind numbers

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Speaker: Joel D. Hamkins (Notre Dame and Oxford) Title: An exploration of infinite games—infinite Wordle and the Mastermind numbers Abstract: Let us explore the nature of strategic reasoning in infinite games, focusing on the cases of infinite Wordle and infinite Mastermind. The familiar game of Wordle extends naturally to longer words or even infinite words in an […]

  • Composite fermions and the fractional quantum anomalous Hall effect

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    https://youtu.be/UqrKDW6aJuc Topological Quantum Matter Seminar Speaker: Hart Goldman, University of Chicago Title: Composite fermions and the fractional quantum anomalous Hall effect Abstract: Recent experiments have revealed evidence for fractional quantum anomalous Hall (FQAH) states at zero magnetic field in a growing number of moire materials. In this talk, I will argue that a composite fermion […]

  • Physics of Language Models: Knowledge Storage, Extraction, and Manipulation

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    https://youtu.be/M25cbX5do8Y New Technologies in Mathematics Seminar Speaker: Yuanzhi Li, CMU Dept. of Machine Learning and Microsoft Research Title: Physics of Language Models: Knowledge Storage, Extraction, and Manipulation Abstract: Large language models (LLMs) can memorize a massive amount of knowledge during pre-training, but can they effectively use this knowledge at inference time? In this work, we show several striking […]

  • Geometry of the doubly periodic Aztec dimer model

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Probability Seminar Speaker: Tomas Berggren (MIT) Title: Geometry of the doubly periodic Aztec dimer model Abstract: Random dimer models (or equivalently tiling models) have been a subject of extensive research in mathematics and physics for several decades. In this talk, we will discuss the doubly periodic Aztec diamond dimer model of growing size, with arbitrary […]

  • CMSA Director Dan Freed featured in Harvard Gazette

    CMSA Director Dan Freed featured in Harvard Gazette "Center welcomes new director, a Harvard alum who will explore ‘beautiful, deep’ interactions between mathematics, science." Link to article. Story by Anne J. Manning, Harvard Staff Writer Photo courtesy of Niles Singer, Harvard University.

  • Black Holes as Quantum Systems

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Member Seminar Speaker: Daniel Kapec (CMSA) Title: Black Holes as Quantum Systems Abstract: To an outside observer, a black hole appears to be an ordinary quantum mechanical system with finite entropy and highly chaotic internal dynamics. Nevertheless, the low-temperature thermodynamics of the Kerr black hole presents several puzzles. For instance, the leading order semiclassical approximation to the […]

  • Gauged Linear Sigma Models and Cohomological Field Theories

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Algebraic Geometry in String Theory Seminar Speaker: David Favero, University of Minnesota Title: Gauged Linear Sigma Models and Cohomological Field Theories Abstract: This talk is dedicated to the memory of my friend and collaborator Bumsig Kim and based on joint work with Ciocan-Fontanine-Guere-Kim-Shoemaker.  Gauged Linear Sigma Models (GLSMs)  serve as a means of interpolating between […]

  •  On Provable Copyright Protection for Generative Model

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Speaker: Boaz Barak (Harvard) Title: On Provable Copyright Protection for Generative Model Abstract: There is a growing concern that learned conditional generative models may output samples that are substantially similar to some copyrighted data C that was in their training set. We give a formal definition of near access-freeness (NAF) and prove bounds on the probability that a […]

  • Resolving memory in numerical relativity, and fixing BMS frames for modeling

    https://youtu.be/zG4xkY8JI1A General Relativity Seminar Speaker: Leo Stein (Mississippi) Title: Resolving memory in numerical relativity, and fixing BMS frames for modeling Abstract: Numerical relativity waveforms serve as ground truth for detection and parameter estimation of binary black hole mergers. Most NR waveforms to date miss memory effects, as they were extracted from simulations using an approximation called extrapolation. I […]

  • CMSA Q and A Seminar 10/24/23

    Common Room, CMSA 20 Garden Street, Cambridge, MA, United States

    CMSA Q and A Seminar Speakers: Xi Yin (Harvard Physics) and Peter Kronheimer (Harvard Math) Topics: Xi Yin: What is string field theory? Peter Kronheimer: What is Seiberg-Witten theory?

  • Llemma: an open language model for mathematics

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    https://youtu.be/bRHb-MVExJ4 New Technologies in Mathematics Seminar Speaker: Sean Welleck, CMU, Language Technologies Institute Title: Llemma: an open language model for mathematics Abstract: We present Llemma: 7 billion and 34 billion parameter language models for mathematics. The Llemma models are initialized with Code Llama weights, then trained on the Proof-Pile II, a 55 billion token dataset of […]