Today

  • 10.05.2022

    Minerva: Solving Quantitative Reasoning Problems with Language Models

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

    https://youtu.be/HUTWime3d6w New Technologies in Mathematics Seminar Speaker: Guy Gur-Ari, Google Research Title: Minerva: Solving Quantitative Reasoning Problems with Language Models Abstract: Quantitative reasoning tasks which can involve mathematics, science, and programming are often challenging for machine learning models in general and for language models in particular. We show that transformer-based language models obtain significantly better performance […]

  • Kahler geometry in twisted materials

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

    Member Seminar Speaker: Jie Wang Title: Kahler geometry in twisted materials Abstract: Flatbands are versatile platform for realizing exotic quantum phases due to the enhanced interactions. The canonical example is Landau level where fractional quantum Hall physics exists. Although interaction is strong, the fractional quantum Hall effect is relatively well understood thanks to its model wavefunction, […]

  • CMSA Algebraic Geometry in String Theory 09.30.2022

    GLSM, Homological projective duality and nc resolutions

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

    Algebraic Geometry in String Theory Seminar Speaker:  Mauricio Romo, Tsinghua University Title: GLSM, Homological projective duality and nc resolutions Abstract: Kuznetsov's Homological projective duality (HPD) in algebraic geometry is a powerful theorem that allows to extract information about semiorthogonal decompositions of derived categories of certain varieties. I will give a GLSMs perspective based on categories of B-branes. I will focus mostly on the case of Fano […]

  • CMSA NTM Seminar 09.28.2022

    Statistical mechanics of neural networks: From the geometry of high dimensional error landscapes to beating power law neural scaling

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

    https://youtu.be/SQlPI07LvUc New Technologies in Mathematics Speaker: Surya Ganguli, Stanford University Title: Statistical mechanics of neural networks: From the geometry of high dimensional error landscapes to beating power law neural scaling Abstract: Statistical mechanics and neural network theory have long enjoyed fruitful interactions.  We will review some of our recent work in this area and then focus on […]

  • CMSA Colloquium 09.28.22

    The Tree Property and uncountable cardinals

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

    Colloquium Speaker: Dima Sinapova (Rutgers University) Title: The Tree Property and uncountable cardinals Abstract: In the late 19th century Cantor discovered that there are different levels of infinity. More precisely he showed that there is no bijection between the natural numbers and the real numbers, meaning that the reals are uncountable. He then went on […]

  • CMSA Topological Seminar 09.28.22

    Extracting the quantum Hall conductance from a single bulk wavefunction from the modular flow

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

    https://youtu.be/Y6YFgi6X5kE Topological Quantum Matter Seminar Speaker: Ruihua Fan, Harvard University Title: Extracting the quantum Hall conductance from a single bulk wavefunction from the modular flow Abstract: One question in the study of topological phases is to identify the topological data from the ground state wavefunction without accessing the Hamiltonian. Since local measurement is not enough, […]

  • Random determinants, the elastic manifold, and landscape complexity beyond invariance

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

    Member Seminar Speaker: Ben McKenna Title: Random determinants, the elastic manifold, and landscape complexity beyond invariance Abstract: The Kac-Rice formula allows one to study the complexity of high-dimensional Gaussian random functions (meaning asymptotic counts of critical points) via the determinants of large random matrices. We present new results on determinant asymptotics for non-invariant random matrices, and […]

  • CMSA GR Seminar

    A scale-critical trapped surface formation criterion for the Einstein-Maxwell system

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

    https://youtu.be/1v9STFWqArQ General Relativity Seminar Speaker: Nikolaos Athanasiou Title: A scale-critical trapped surface formation criterion for the Einstein-Maxwell system Abstract: Few notions within the realm of mathematical physics succeed in capturing the imagination and inspiring awe as well as that of a black hole. First encountered in the Schwarzschild solution, discovered a few months after the […]

  • CMSA Colloquium

    Moduli spaces of graphs

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

    Colloquium Speaker: Melody Chan, Brown Title: Moduli spaces of graphs Abstract: A metric graph is a graph—a finite network of vertices and edges—together with a prescription of a positive real length on each edge. I'll use the term "moduli space of graphs" to refer to certain combinatorial spaces—think simplicial complexes—that furnish parameter spaces for metric […]

  • CMSA Active Matter

    Limit and potential of adaptive immunity

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

    Active Matter Seminar Speaker: Shenshen Wang, UCLA Title:  Limit and potential of adaptive immunity Abstract: The adaptive immune system is able to learn from past experiences to better fit an unforeseen future. This is made possible by a diverse and dynamic repertoire of cells expressing unique antigen receptors and capable of rapid Darwinian evolution within an individual. However, […]

  • CMSA Topological Seminar 09.21.22

    Geometric test for topological states of matter

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

    https://youtu.be/MxXD2yA2pxQ Topological Quantum Matter Seminar Speaker: Semyon Klevtsov, University of Strasbourg Title: Geometric test for topological states of matter Abstract: We generalize the flux insertion argument due to Laughlin, Niu-Thouless-Tao-Wu, and Avron-Seiler-Zograf to the case of fractional quantum Hall states on a higher-genus surface. We propose this setting as a test to characterise the robustness, or […]

  • The story of the information paradox

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

    Swampland Seminar Speaker: Samir Mathur (Ohio State) Title: The story of the information paradox Abstract:  In 1975 Hawking argued that black hole evaporation would lead to a loss of unitarity in quantum theory.  The small corrections theorem made Hawking's argument into a precise statement: if semiclassical physics hold to leading order in any gently curved region of […]