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Symmetry and uniqueness via a variational approach

Abstract: For some nonlocal PDEs, their steady states can be seen as critical points of some associated energy functional. Therefore, if one can construct pe...

Quantum Riemann-Hilbert problems for the resolved conifold

Abstract: In this talk we introduce the quantum Riemann-Hilbert problems determined by the refined Donaldson-Thomas theory on the resolved conifold. Using th...

Dynamical filtrations

Abstract: Let X be a compact Kähler manifold equipped with a biholomorphic self-map, or more generally a virtually solvable holomorphic group action. We intr...

Combinatorics and dynamics of Harder--Narasimhan filtrations

Abstract: How does an object of a triangulated category evolve when we apply an auto-equivalence? I will make this question precise using a Bridgeland stabil...

Localization Schemes: A Framework for proving mixing bounds in Markov chains

Abstract: A useful way of producing samples from a given measure $\nu$ on a state space $\Omega$ is by providing a Markov chain whose stationary measure in $...

Unramified correspondance and virtual homology of mapping class groups

Abstract:  I shall discuss my recent work showing that the Bogomolov-Tschinkel universality conjecture holds if and only if the mapping class groups of a pun...

The Postdoc workshop A - Fall Semester 2022

The Postdoc workshop A - Fall Semester 2022 Schedule

Perverse sheaves on affine flag varieties and coherent sheaves on the dual Steinberg va...

Abstract:  We will report on an ongoing project with R. Bezrukavnikov and L. Rider which aims at constructing an equivalence of categories lifting to the cat...

双有理几何研讨会

                                             Birational Geometry Workshop Schedule: Friday 21 Oct Time:  8:30-9:30 Speaker:  Keiji Oguiso Title:  Kawaguchi-S...

Non-abelian Hodge theory and higher Teichmüller spaces

Abstract:  Non-abelian Hodge theory relates representations of the fundamental group of a compact Riemann surface X into a Lie group G with holomorphic objec...

Modularity of arithmetic theta series

Abstract:  The theta series of a positive definite quadratic lattice is a modular form. The geometric theta series of a hermitian lattice with sign (n-1,1) i...

Model Selection for Optimal Regression Learning

In statistical learning, various mathematical optimalities are used to characterize performances of different learning methods. They include minimax optimali...

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