• Recent advances in scalar curvature and positive mass theorems

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

    https://youtu.be/kGpZ0nRcZRU General Relativity Seminar Speaker: Tin Yau Tsang, University of California Irvine Title: Recent advances in scalar curvature and positive mass theorems Abstract:  First, we have a review of classical tools for studying scalar curvature and positive mass theorem. Then we are going to discuss some advances and new perspectives on these tools which lead […]

  • On complete Calabi-Yau metrics and some related Monge-Ampere equations

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

    Member Seminar Speaker: Freid Tong Title: On complete Calabi-Yau metrics and some related Monge-Ampere equations Abstract: We will give a basic introduction to constructions for complete Calabi-Yau metrics. A systematic approach to construct such metrics using PDE methods was proposed in the work of Tian-Yau in the 90s and have attracted a lot of attention […]

  • Boundary behavior at classical and quantum phase transitions

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

    Speaker: Max Metlitski (MIT) Title: Boundary behavior at classical and quantum phase transitions Abstract: There has been a lot of recent interest in the boundary behavior of materials. This interest is driven in part by the field of topological states of quantum matter, where exotic protected boundary states are ubiquitous. In this talk, I'll ask: what happens […]

  • Toolformer: Language Models Can Teach Themselves to Use Tools

    Virtual

    https://youtu.be/UID_oXuN-0Y New Technologies in Mathematics Seminar Speaker: Timo Schick, Meta AI Title: Toolformer: Language Models Can Teach Themselves to Use Tools Abstract: Language models exhibit remarkable abilities to solve new tasks from just a few examples or textual instructions, especially at scale. They also, paradoxically, struggle with basic functionality, such as arithmetic or factual lookup, where […]

  • Boundary current fluctuations for the half space ASEP

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

    Probability Seminar Speaker: Jimmy He (MIT) Title: Boundary current fluctuations for the half space ASEP Abstract: The half space asymmetric simple exclusion process (ASEP) is an interacting particle system on the half line, with particles allowed to enter/exit at the boundary. I will discuss recent work on understanding fluctuations for the number of particles in the half space […]

  • The localized seed-to-solution method for the Einstein constraints

    Virtual

    https://youtu.be/eGU1AQBcxNw General Relativity Seminar Speaker: Philippe G. LeFloch, Sorbonne University and CNRS Title: The localized seed-to-solution method for the Einstein constraints Abstract: I will discuss advances on asymptotically Euclidian initial data sets and the variational method introduced by J. Corvino and R. Schoen. This talk is based on joint papers with The-Cang Nguyen (Montpellier) and Bruno […]

  • Competition at the front of expanding populations

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

    Active Matter Seminar Speaker: Mehran Kardar, MIT Title: Competition at the front of expanding populations Abstract: When competing species grow into new territory, the population is dominated by descendants of successful ancestors at the expansion front. Successful ancestry depends on the reproductive advantage (fitness), as well as ability and opportunity to colonize new domains. (1) Based […]

  • Fracton Self-Statistics

    Virtual

    Quantum Matter Seminar Title: Fracton Self-Statistics Speaker: Hao Song (ITP-CAS) Abstract: Fracton order describes novel quantum phases of matter that host quasiparticles with restricted mobility, and thus lies beyond the existing paradigm of topological order. In particular, excitations that cannot move without creating other excitations are called fractons. Here we address a fundamental open question […]

  • Toroidal Positive Mass Theorem

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

    Member Seminar Speaker: Aghil Alaee Title: Toroidal Positive Mass Theorem Abstract: In this talk, we review the positive mass conjecture in general relativity and prove a toroidal version of this conjecture in an asymptotically hyperbolic setting.

  • Generative Adversarial Networks (GANs): An Analytical Perspective

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

    Speaker: Xin Guo, UC Berkeley Title: Generative Adversarial Networks (GANs): An Analytical Perspective Abstract: Generative models have attracted intense interests recently. In this talk, I will discuss one class of generative models, Generative Adversarial Networks (GANs).  I will first provide a gentle review of the mathematical framework behind GANs. I will then proceed to discuss a few […]

  • Random Neural Networks

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

    Probability Seminar Speaker: Boris Hanin (Princeton) Title: Random Neural Networks Abstract: Fully connected neural networks are described two by structural parameters: a depth L and a width N. In this talk, I will present results and open questions about the asymptotic analysis of such networks with random weights and biases in the regime where N (and potentially […]

  • Testing GR with GWs

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

    https://youtu.be/Bm3FA2avr4I General Relativity Seminar Speaker: Vitor Cardoso, IST, Lisbon and The Niels Bohr Institute, Copenhagen Title: Testing GR with GWs Abstract: One of the most remarkable possibilities of General Relativity concerns gravitational collapse to black holes, leaving behind a geometry with light rings, ergoregions and horizons. These peculiarities are responsible for uniqueness properties and energy extraction mechanisms that […]