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 Events
Penn State
Tue 2 Apr 2019, 12:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
MATH 126
TBA
MATH 126
Tue 2 Apr 2019, 12:30pm-1:30pm

Abstract

 
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Columbia University
Tue 2 Apr 2019, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
TBA
Evolution of non-compact hypersurface by inverse mean curvature
TBA
Tue 2 Apr 2019, 3:30pm-4:30am

Abstract

In this talk, we first introduce the inverse mean curvature flow and its well known application in the the proof of Riemannian Penrose inequality by Huisken and Ilmanen. Then we discuss our main result which addresses the existence and behavior of convex non-compact inverse mean curvature flow.  

The key ingredient is a priori interior in time estimate on inverse mean curvature written in terms of the aperture of supporting cone at infinity. This is a joint work with P. Daskalopoulos and I will also mention the recent work with P.-K. Hung concerning the evolution of singular hypersurfaces. 
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UC Santa Barbara
Thu 4 Apr 2019, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
TBA
Multiplicity One Conjecture in Min-max theory
TBA
Thu 4 Apr 2019, 3:30pm-4:30pm

Abstract

I will present a recent proof of the Multiplicity One Conjecture in Min-max theory. This conjecture was raised by Marques and Neves. It says that in a closed manifold of dimension between 3 and 7 with a bumpy metric, the min-max minimal hypersurfaces associated with the volume spectrum introduced by Gromov, Guth, Marques-Neves are all two-sided and have multiplicity one. As direct corollaries, it implies the generalized Yau's conjecture for such manifolds with positive Ricci curvature, which says that there exist a sequence of minimal hypersurfaces with area tending to infinity, and the Weighted Morse Index Bound Conjecture by Marques and Neves.
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Zhejiang University
Thu 5 Sep 2019, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
TBA
TBA
TBA
Thu 5 Sep 2019, 3:30pm-4:30pm

Abstract

 
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