• 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/MATH Fall Gathering

    Harvard Science Center 1 Oxford Street, Cambridge, MA

    CMSA/MATH Fall Gathering Friday, Sep 23, 2022 4:30–6:00 pm All CMSA and Math affiliates are invited.

  • 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 […]

  • Candidates for Non-Supersymmetric Dualities

    Virtual

    https://www.youtube.com/watch?v=c1ED61O0f0Y&list=PL0NRmB0fnLJQAnYwkpt9PN2PBKx4rvdup&index=2 Quantum Matter in Mathematics and Physics Speaker: Avner Karasik (University of Cambridge, UK) Title: Candidates for Non-Supersymmetric Dualities Abstract: In the talk I will discuss the possibility and the obstructions of finding non-supersymmetric dualities for 4d gauge theories. I will review consistency conditions based on Weingarten inequalities, anomalies and large N, and clarify some […]

  • 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, […]

  • 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 […]

  • 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 […]

  • General-relativistic viscous fluids

    Virtual

    https://youtu.be/nfausHrja-Y General Relativity Seminar Speaker: Marcelo Disconzi, Vanderbilt University Title: General-relativistic viscous fluids Abstract: The discovery of the quark-gluon plasma that forms in heavy-ion collision experiments provides a unique opportunity to study the properties of matter under extreme conditions, as the quark-gluon plasma is the hottest, smallest, and densest fluid known to humanity. Studying the quark-gluon plasma also provides a window into […]

  • 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 […]

  • 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, […]

  • Holomorphic Twists and Confinement in N=1 SYM

    Virtual

    https://www.youtube.com/watch?v=iBHTwt_dptc&list=PL0NRmB0fnLJQAnYwkpt9PN2PBKx4rvdup&index=1 Quantum Matter Seminar Speaker: Justin Kulp (Perimeter Institute) Title: Holomorphic Twists and Confinement in N=1 SYM Abstract: Supersymmetric QFT's are of long-standing interest for their high degree of solvability, phenomenological implications, and rich connections to mathematics. In my talk, I will describe how the holomorphic twist isolates the protected quantities which give SUSY QFTs […]

  • 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 […]