Stability in geometric inequalities

Fri Apr 1, 2022 12:00 p.m.—1:00 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Graduate Student Seminar

Event time: 
Friday, April 1, 2022 - 12:00pm

Speaker: 
Haoyu Wang

Speaker affiliation: 
Yale University

Event description: 
I will review some results on the stability of some geometric inequalities. The notion of stability considers the following question: Suppose that a function almost attains equality in some inequality for which minimizers are known. Can we prove that such a function is close to one of the minimizers? Over the past decade, the method of mass transportation made significant progress on this issue. In this talk, I will focus on the Brunn-Minkowski inequality and the isoperimetric inequality and give a quick overview of the proof strategy.

Contact: 
GSS website 
yale.math.grad.student.seminar@gmail.com