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Graduate Student Analysis Seminar: A friendly introduction to the isoperimetric inequality

Kuan-Ting Yeh, University of Washington
Thursday, January 26, 2023 - 12:30pm to 1:30pm
PDL C-401

The isoperimetric inequality asks the following: Given a fixed positive area, what is the shape that has the smallest perimeter? The answer to this question is given by a disk. Its history goes back to Ancient Greece, but the rigorous proof of it is relatively recent. In this expository talk, we survey some current methods in dealing with isoperimetric-type problems and discuss some possible applications.