Algebraic Geometry in String Theory Seminar Speaker: Chung-Ming Pan, Institut de Mathématiques de Toulouse Title: Kähler-Einstein metrics on families of Fano varieties Abstract: This talk aims to introduce a pluripotential approach to study uniform a priori estimates of Kähler-Einstein (KE) metrics on families of Fano varieties. I will first recall basic tools in the pluripotential theory […]
Colloquium Speaker: Luca Iliesiu, Stanford Title: Black hole microstate counting from the gravitational path integral Abstract: Reproducing the integer count of black hole micro-states from the gravitational path integral is an important problem in quantum gravity. In the first part of the talk, I will show that, by using supersymmetric localization, the gravitational path integral for 1/16-BPS black […]
Member Seminar Speaker: Faidra Monachou Title: Optimal Dynamic Allocation: Simplicity through Information Design Abstract: We study dynamic nonmonetary markets where objects are allocated to unit-demand agents with private types. An agent’s value for an object is supermodular in her type and the quality of the object, and her payoff is quasilinear in her waiting cost. The […]
Probability Seminar Speaker: Ahmed El Alaoui (Cornell) Title: Sampling from the SK and mixed p-spin measures with stochastic localization Abstract: I will present an algorithm which efficiently samples from the Sherrington-Kirkpatrick (SK) measure with no external field at high temperature. The approach is based on the stochastic localization process of Eldan, together with a subroutine for […]
https://youtu.be/8QfTA8wmChY General Relativity Seminar Speaker: Sifan Yu, Vanderbilt University Title: Rough solutions of the relativistic Euler equations Abstract: I will discuss recent works on the relativistic Euler equations with dynamic vorticity and entropy. We use a new formulation of the equations, which has geo-analytic structures. In this geometric formulation, we decompose the flow into geometric "sound-wave […]
Quantum Matter Seminar Speaker: Nishad Maskara (Harvard) Title: Enhancing Detection of Topological Order by Local Error Correction Abstract: The exploration of topologically-ordered states of matter is a long-standing goal at the interface of several subfields of the physical sciences. Such states feature intriguing physical properties such as long-range entanglement, emergent gauge fields and non-local correlations, and can […]
Algebraic Geometry in String Theory Seminar Speaker: Oliver Schlotterer (Uppsala University) Title: Modular graph forms and iterated integrals in string amplitudes Abstract: I will discuss string amplitudes as a laboratory for special functions and period integrals that drive fruitful cross-talk with particle physicists and mathematicians. At genus zero, integration over punctures on a disk or […]
Current Developments in Mathematics 2023 Harvard University Science Center, Lecture Hall C April 7-8, 2023 Speakers: Amol Aggarwal - Columbia University Bhargav Bhatt - Institute for Advanced Study, Princeton University, & University of Michigan Paul Bourgade - New York University, Courant Institute Vesselin Dimitrov - Institute for Advanced Study & Georgia Institute of Technology Greta […]
Swampland Seminar Speaker: Seung-Joo Lee (IBS Daejeon) Title: Swampland bounds on the abelian gauge sectors Abstract: In this talk we will derive various bounds on the 0-form and the 1-form abelian gauge sectors of gravitational effective theories in 6 dimensions with minimal supersymmetry. We will start by considering 6-dimensional F-theory vacua with at least one tensor […]
Probability Seminar *Please note room change: Science Center 232* Speaker: Ron Peled (Tel Aviv University) Title: Localization for random band matrices Abstract: I will explain an approach via "an adaptive Mermin-Wagner style shift" which proves localization of N x N Gaussian random band matrices with band width W satisfying W << N^{1/4}. Joint work with Giorgio Cipolloni, Jeffrey […]
Member Seminar Speaker: Changji Xu Title: Spectral gap and two-point functions in spin glasses Abstract: Many have worked on spin glass models over the past 50 years, including physicists, mathematicians, and computers. A question that arises is whether computers yield dependable simulation results. In this talk, I will discuss some recent mathematical progress on spectral […]
Speaker: James Halverson (Northeastern University) Title: Unexpected Uses of Neural Networks: Field Theory and Metric Flows Abstract: We are now quite used to the idea that deep neural networks may be trained in a variety of ways to tackle cutting-edge problems in physics and mathematics, sometimes leading to rigorous results. In this talk, however, I will argue […]