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Probability and Combinatorics

Tuesday, February 6, 2024 - 3:30pm

Zhengjiang Lin

NYU Courant


University of Pennsylvania


We will briefly discuss some asymptotic topological statistics of Gaussian random zero sets, which include a random distribution on knots as a special case. We will also discuss some results on zero sets of random Laplacian eigenfunctions, which are related to Courant’s nodal domain theorem and Milnor-Thom’s theorem on Betti numbers of real algebraic varieties.