Colloquia & Seminars

Speaker: Chuck Doran, CMSA

Title: Motivic Geometry of Two-Loop Feynman Integrals

Member Seminar Speaker: Chuck Doran Title: Motivic Geometry of Two-Loop Feynman Integrals Abstract: We study the geometry and Hodge theory of the cubic hypersurfaces attached to two-loop Feynman integrals for generic physical parameters. We show that the Hodge structure attached to planar two-loop Feynman graphs decomposes into a mixed Tate piece and a variation of Hodge structure from families of hyperelliptic curves, elliptic curves, or rational curves depending on the space-time dimension. We give more precise results for two-loop graphs with a small number of edges. In particular, we recover a result of Spencer Bloch that in the well-known double box example there is an underlying family of elliptic curves, and we give a concrete description of these elliptic curves. We show...

Speaker: David Gamarnik, MIT

Title: From spin glasses to Boolean circuits lower bounds &#; Algorithmic barriers from the overlap gap property

Speaker: David Gamarnik (MIT) Title: From spin glasses to Boolean circuits lower bounds. Algorithmic barriers from the overlap gap property Abstract: Many decision and optimization problems over random structures exhibit an apparent gap between the existentially optimal values and algorithmically achievable values. Examples include the problem of finding a largest independent set in a random graph, the problem of finding a near ground state in a spin glass model, the problem of finding a satisfying assignment in a random constraint satisfaction problem, and many many more. Unfortunately, at the same time no formal computational hardness results exist which  explains this persistent algorithmic gap. In the talk we will describe a new approach for establishing an algorithmic intractability for these problems called...

Speaker: Roland Bauerschmidt, Cambridge

Title: Title TBA

Probability Seminar Speaker: Roland Bauerschmidt (Cambridge)

Speaker: Maciej Zworski, UC Berkeley

Title: Quasinormal modes and Ruelle resonances: mathematician&#;s perspective

General Relativity Seminar Speaker: Maciej Zworski, UC Berkeley Title: Quasinormal modes and Ruelle resonances: mathematician's perspective Abstract: Quasinormal modes of gravitational waves and Ruelle resonances in hyperbolic classical dynamics share many general properties and can be considered "scattering resonances": they appear in expansions of correlations, as poles of Green functions and are associated to trapping of trajectories (and are both notoriously hard to observe in nature, unlike, say, quantum resonances in chemistry or scattering poles in acoustical scattering). I will present a mathematical perspective that also includes zeros of the Riemann zeta function (scattering resonances for the Hamiltonian given by the Laplacian on the modular surface) and stresses the importance of different kinds of trapping phenomena, resulting, for...

Title: Title TBA

Probability Seminar Speaker: Zhigang Yao (Harvard CMSA/National University of Singapore)

Speaker: Sean Welleck, University of Washington and AI2

Title: New Technologies in Mathematics Seminar &#; Title TBA

New Technologies in Mathematics Seminar Speaker: Sean Welleck,  University of Washington and AI2      

Speaker: Vishesh Jain, UIC

Title: Title TBA

Probability Seminar Speaker: Vishesh Jain (UIC)

Speaker: Jimmy Ba, University of Toronto

Title: New Technologies in Mathematics Seminar &#; Title TBA

New Technologies in Mathematics Seminar Speaker: Jimmy Ba, University of Toronto    

Speaker: Jean-Christophe Mourrat, Lyon

Title: Title TBA

Probability Seminar Speaker: Jean-Christophe Mourrat (Lyon)

Speaker: David Andriot, Annecy, LAPTH

Title: Swampland Seminar &#; Title TBA

Swampland Seminar Speaker: David Andriot (Annecy, LAPTH)

Speaker: Wei-Kuo Chen, Minnesota

Title: Title TBA

Probability Seminar Speaker: Wei-Kuo Chen (Minnesota)

Speaker: Valerio De Luca, UPenn

Title: Swampland Seminar &#; Title TBA

Swampland Seminar Speaker: Valerio De Luca (UPenn)

Speaker: Ahmed El Alaoui, Cornell

Title: Title TBA

Probability Seminar Speaker: Ahmed El Alaoui (Cornell)

Speaker: Seung-Joo Lee (IBS Daejeon), IBS Daejeon

Title: Swampland Seminar &#; Title TBA

Swampland Seminar Speaker: Seung-Joo Lee (IBS Daejeon)

Speaker: James Halverson, Northeastern University

Title: Unexpected Uses of Neural Networks: Field Theory and Metric Flows  

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 that breakthroughs in deep learning theory are also useful for making progress, focusing on applications to field theory and metric flows. Specifically, I will introduce a neural network approach to field theory with a different statistical origin, that exhibits generalized free field behavior at infinite width and interactions at finite width, and that allows for the study of symmetries via the study of correlation functions...