Difference between revisions of "PDE Geometric Analysis seminar"

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(Abstracts)
(Sigurd Angenent)
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===Sigurd Angenent===
 
===Sigurd Angenent===
The Huisken-Hamilton-Gage theorem on compact convex solutions to MCF shows that in forward time all solutions do the same thing, namely, they shrink to a point and become round as they do so.  Even though MCF is ill-posed in backward time there do exist solutions that are defined for all t<0 , and one can try to classify all such &ldquo;Ancient solutions.&rdquo;  In doing so one finds that there is interesting dynamics associated to Ancient solutions.  I will discuss what is currently known about these solutions.  Some of the talk is based on joint work with Sesum and Daskalopoulos.
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The Huisken-Hamilton-Gage theorem on compact convex solutions to MCF shows that in forward time all solutions do the same thing, namely, they shrink to a point and become round as they do so.  Even though MCF is ill-posed in backward time there do exist solutions that are defined for all t<0 , and one can try to classify all such &ldquo;Ancient Solutions.&rdquo;  In doing so one finds that there is interesting dynamics associated to ancient solutions.  I will discuss what is currently known about these solutions.  Some of the talk is based on joint work with Sesum and Daskalopoulos.

Revision as of 11:49, 19 January 2017

The seminar will be held in room 901 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm, unless indicated otherwise.

Previous PDE/GA seminars

Tentative schedule for Fall 2017

PDE GA Seminar Schedule Spring 2017

date speaker title host(s)
January 23
Special time and location:
3-3:50pm, B325 Van Vleck
Sigurd Angenent (UW) Ancient convex solutions to Mean Curvature Flow Local
January 30 Serguei Denissov (UW) Local
February 6 Benoit Perthame (University of Paris VI) Wasow lecture
February 13 Bing Wang (UW) Local
February 20 Hans-Joachim Hein (Fordham) Viaclovsky
February 27 Ben Seeger (University of Chicago) Tran
March 7 - Applied math/PDE/Analysis seminar Roger Temam (Indiana University) Mathematics Department Distinguished Lecture
March 8 - Applied math/PDE/Analysis seminar Roger Temam (Indiana University) Mathematics Department Distinguished Lecture
March 13 Sona Akopian (UT-Austin) Kim
March 27 Sylvia Serfaty (Courant) Tran
March 29 Sylvia Serfaty (Courant) Wasow lecture
April 3 Zhenfu Wang (Maryland) Kim
May 1st Jeffrey Streets (UC-Irvine) Bing Wang

Abstracts

Sigurd Angenent

The Huisken-Hamilton-Gage theorem on compact convex solutions to MCF shows that in forward time all solutions do the same thing, namely, they shrink to a point and become round as they do so. Even though MCF is ill-posed in backward time there do exist solutions that are defined for all t<0 , and one can try to classify all such “Ancient Solutions.” In doing so one finds that there is interesting dynamics associated to ancient solutions. I will discuss what is currently known about these solutions. Some of the talk is based on joint work with Sesum and Daskalopoulos.