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Overturning the Regularity of Area-Minimizing Submanifolds

Abstract: For decades, the prevailing expectation was that area-minimizing submanifolds are generically smooth. I demonstrate the opposite: on almost any man...

First-Order Algorithms for Composite Optimization and Applications

Host: Jin-Peng Liu 刘锦鹏 Abstract: This talk explores some recent advancements in first-order optimization algorithms for composite optimization and is divi...

Dylan G Allegretti

Research Areas Geometry, mathematical physics Educational Background 2013-2016   Doctor, Yale University 2010-2013   Master, Yale University 2006-2010   Bach...

Decision-Focused Optimal Transport

组织者 Organizer:周源 报告摘要 Abstract: We propose a fundamental metric for measuring the distance between two distributions. This metric, referred to as ...

O-minimality, complex geometry and Hodge theory

Description: O-minimality studies “tame” topological structures. The goal of the course is to explain how to use it to control transcendental phenomena in ...

Mathematics of the dilute Bose gas

Description:  In this course, I am going to discuss some recent progress in the mathematical analysis of many-body quantum systems. We will start with the Bo...

Research Domains & Achievements

Mathematical researches at YMSC covers mainly 5 major areas and 3 crossdisciplinary research fields. The research groups of representation theory, number the...

Distinguished Faculty

In the past decade, YMSC has been able to build a top-notch faculty. One of the recent additions, the 2018 Fields Medalist Caucher Birkar joins the team in 2...

A neural network approach to learning solutions of a class of elliptic variational ineq...

Abstract: We develop a weak adversarial approach to solving obstacle problems using neural networks. By using (generalized) regularized gap functions and the...

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