Penn State

Tue 2 Apr 2019, 12:30pm
SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
MATH 126

TBA

MATH 126
Tue 2 Apr 2019, 12:30pm1:30pm
Abstract
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Columbia University

Tue 2 Apr 2019, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
TBA

Evolution of noncompact hypersurface by inverse mean curvature

TBA
Tue 2 Apr 2019, 3:30pm4:30am
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 noncompact 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 Minmax theory

TBA
Thu 4 Apr 2019, 3:30pm4:30pm
Abstract
I will present a recent proof of the Multiplicity One Conjecture in Minmax 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 minmax minimal hypersurfaces associated with the volume spectrum introduced by Gromov, Guth, MarquesNeves are all twosided 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, 3:30pm4:30pm
Abstract
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