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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.
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TQM unit is pleased to invite you to the seminar!
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Can the topology of space change? In this talk, we will see that through the eyes of General Relativity the answer is "yes, but... probably not".
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CFF unit is pleased to invite you to the seminar!
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https://oist.zoom.us/j/98413016935?pwd=NFExVWloa1l5MVZ6R2V1ckFtampZZz09TQM unit is pleased to invite you to the seminar!