Date
OIST - Osaka University: A Recipe for Scientific Synergy-Series 1 by Dr. Svante Pääbo and Dr. Hisashi Arase
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Theory of Quantum Matter Unit and Quantum Machines Unit joint Seminar.
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Speaker: Paul Wedrich, University of Hamburg
Title: Knots and quivers, HOMFLYPT and DT
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Professor Alex Iosevich, University of Rochester
Title: Finite point configurations and the Vapnik-Chervonenkis dimension
Abstract:
The Vapnik-Chervonenkis (VC) dimension was invented in 1970 to study learning models. This notion has since become one of the cornerstones of modern data science. This beautiful idea has also found applications in other areas of mathematics. In this talk we are going to describe how the study of the VC-dimension in the context of families of indicator functions of spheres centered at points in sets of a given Hausdorff dimension (or in sets of a given size inside vector spaces over finite fields) gives rise to interesting, and in some sense extremal, point configurations.
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Analysis on Metric Spaces Fall Seminar
Title: On weak solutions to first-order discount mean field games
Speaker: Hiroyoshi Mitake, University of Tokyo
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Seminar hosted by QG Unit.
Speaker: Prof. Augusto Sagnotti, Scuola Normale Superiore
Title: On Broken Supersymmetry in String Theory
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Speaker: Hankyung Ko, Uppsala University
Title: Bruhat orders and Verma modules
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Professor Genevieve Konopka
Jon Heighten Scholar in Autism Research
University of Texas Southwestern Medical Center
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Speaker: Dr. S. Ravichandran, Nordic Institute for Theoretical Physics, Stockholm, Sweden
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FALL 2021 Nonlinear Analysis Online Seminar Seminar Series
Sagun Chanillo, Rutgers University
Title: Local Version of Courant's Nodal domain theorem.
Abstract:
Consider a smooth, compact Riemannian manifold with no boundary, endowed with a smooth metric. A famous theorem of Courant states that the k-th eigenfunction for the Laplace-Beltrami operator can have at most k nodal domains. Nodal domains are the open and connected sets where the eigenfunction does not vanish. H. Donnelly and Fefferman obtained some 30 years ago a local version of this theorem. Improvements were made by Chanillo-Muckenhoupt and others. In this talk we obtain the optimal local version of the local Courant theorem. We also relate this result to conjectures of S.-T. Yau on nodal sets, that is the zero set of eigenfunctions. The results of our talk have been obtained jointly with A. Logunov, E. Mallinikova and D. Mangoubi.