Seminars & Colloquia Calendar
Spectral Optimization and Free Boundary Problems
Dennis Kriventsov, New York University
Location: Hill 705
Date & time: Wednesday, 31 January 2018 at 12:00PM - 1:00PM
Abstract: A classic subject in analysis is the relationship between the spectrum of the Laplacian on a domain and that domain's geometry. One approach to understanding this relationship is to study domains which extremize some function of their spectrum under geometric constraints. I will explain how to attack these problems using tools from the calculus of variations to find solutions. A key difficulty with this method is showing that the optimizers (which are a priori very weak) are actually smooth domains, and I address this issue in some recent work with Fanghua Lin. Our results are based on relating spectral optimization problems to certain vector-valued free boundary problems of Bernoulli type.
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Charles Weibel Organizer's Page
Brooke Logan
Wujun Zhang Organizer's webpage
P. Gupta, X.Huang and J. Song Organizer's webpage
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Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage
Yonah Biers-Ariel, Mingjia Yang, and Doron Zeilberger --> homepage
Paul Feehan, Manousos Maridakis, Natasa Sesum Organizer's webpage
Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage
Jason Saied Seminar webpage
Brian Pinsky, Rashmika Goswami website
Corrine Yap Organizer's webpage
James Holland; Organizer website
Edna Jones Organizer's webpage
Brooke Ogrodnik website
Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum
Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage
Simon Thomas website
Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page
Joel Lebowitz, Michael Kiessling
Yanyan Li, Haim Brezis
Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website
Stephen D. Miller
Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum
Yael Davidov Seminar webpage
Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page
Ebru Toprak, Organizer
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