Stanford University

Upcoming Events

Monday, September 26, 2022
2:30 PM
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383N
Xinwen Zhu (Stanford)
We discuss a recent new technique for isolating cupsidal components on the spectral side of the trace formula. The main point is to understand  (in my opinion) the correct notion of the Bernstein center of real groups.
This is a joint work of Raphaël Beuzart-Plessis,…
Monday, September 26, 2022
4:00 PM
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Sequoia 200
Shuangping Li (Stanford Statistics)

We consider the binary perceptron model, a simple model of neural networks that has gathered significant attention in the statistical physics, information theory, and probability theory communities. We show that at low constraint density (m=n^{1-epsilon}), the model exhibits a strong freezing…

Tuesday, September 27, 2022
4:00 PM
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383N
Charles Stine, Brandeis University

Fintushel-Stern's knot surgery construction on elliptic surfaces has been a central source of exotic, smooth four-manifolds since its introduction in the 1990's. The construction associates a homotopy elliptic surface to a classical knot. These homotopy elliptic surfaces are non-diffeomorphic if…

Wednesday, September 28, 2022
9:00 AM
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Zoom
Sary Drappeau, Institute of Mathematics of Marseille

This seminar will go into some detail into a proof of the central limit theorem for the values of the Estermann function D(x) at rationals x ordered by denominators, which we worked out with Sandro Bettin (Genova) in 2018. Here D(x) is the values at s=1/2 of the analytic continuation of the…

Wednesday, September 28, 2022
12:00 PM
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384H
Weijie Su, UPenn

In this talk, we will investigate the emergence of geometric patterns in well-trained deep learning models by making use of a layer-peeled model and the law of equi-separation. The former is a nonconvex optimization program that models the last-layer features and weights. We use the model to…

Wednesday, September 28, 2022
3:15 PM
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383N
Inkang Kim (KIAS)

In this talk, we consider the strict convexity of energy functions

of harmonic maps at its critical points from…

Thursday, September 29, 2022
3:00 PM
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384H
Donald Knuth (Stanford University)

The "Sierpinski triangle graph" (based on a fractal that Mandelbrot liked to call the "Sierpinski gasket") and the analogous "Sierpinski tetrahedron graph" are well known. They have a natural generalization to simplexes of any dimension. Several elementary properties are easily proved, and…

Monday, October 3, 2022
12:30 PM
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383N and Zoom
Raphael Steiner (ETH)
It is a classical problem in harmonic analysis to bound L^p-norms of eigenfunctions of the Laplacian on (compact) Riemannian manifolds in terms of the eigenvalue. A sharp general result in that direction was given by Hörmander…
Monday, October 3, 2022
4:00 PM
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Sequoia 200
Valentin Féray (Université de Lorraine)

A meandric system of size $n$ is a non-intersecting collection of closed loops in the plane crossing the real line in exactly $2n$ points (up to continuous deformation). Connected meandric systems are called meanders, and their enumeration is a notoriously hard problem in enumerative…

Monday, October 3, 2022
4:00 PM
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383N