University of Connecticut

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PDE and Differential Geometry Seminar
The Gauss Image Problem
Yiming Zhao, MIT

Monday, January 28, 2019
2:30pm – 3:30pm

Storrs Campus
MONT 214

In this talk, the Gauss image problem for convex bodies will be introduced. This problem includes the Aleksandrov problem as its special case. The essense of the problem is an attempt to a deeper understanding of the Gauss image map.

In the smooth category, the Gauss image problem reduces to an equation of Monge-Ampère type. However, in this talk, we shall focus on the problem in the general setting (rather than imposing any non-necessary smoothness assumptions). Existence and uniqueness results will be presented.

This is a joint work with Károly Böröczky, Erwin Lutwak, Deane Yang, and Gaoyong Zhang.



PDE and Differential Geometry Seminar (primary), UConn Master Calendar

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