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(2021.06.18) Dr. Robin Neumayer:Optimal Functional and Geometric Inequalities — Geometry and Applications
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Update time: 2021-06-17
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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Dr. Robin Neumayer,Northwestern University

Inviter:  
Title:
Optimal Functional and Geometric Inequalities — Geometry and Applications
Time & Venue:
2021.06.18 09:00-10:00 南楼N204室 Zoom会议:412 019 4771 密码:mcm1234
Abstract:


Functional and geometric inequalities play an important role in many problems arising in the calculus of variations, partial differential equations, and geometry. The isoperimetric inequality is a classical example of a geometric inequality: among allsubsets of Euclidean space with a fixed volume, balls have the smallest perimeter. A key point in the study of functional and geometric inequalities is to understand their optimal form, which typically involves studying minimizers of an energy functional andtheir stability properties. These lectures will focus on two main themes: applications of functional and geometric inequalities in various contexts, and the interplay between the geometry of Riemannian manifolds and their optimal functional inequalities. The lecture will be a broad overview of the field.

 

 

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