Room 515, Cosmology Building, National Taiwan University + Cisco WebEx, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Cisco WebEx)
Reifenberg-Type Regularity for Varifolds with Critical Mean Curvature
Sean McCurdy (National Taiwan Normal University)
Abstract
One of the most famous results for regularity of varifolds is Allard's Regularity Theorem, which says that if a varifold
is "very close" to a single
-disc in
%24&chf=bg,s,333333&chco=ffffff)
and has generalized mean curvature
h &chf=bg,s,333333&chco=ffffff)
for
then
is a
graph in a neighborhood of the origin. This talk will focus upon what analogs of Allard's result hold in the
. After surveying previous results in local or infinitesimal regularity and in
dimensions, we will present recent results in arbitrary dimension. If time permits, I will briefly mention some interesting ways in which these results point to a lacuna in the theory of functions on varifolds.
Meeting number (access code): 2510 657 1284
Meeting password: 9miH4ZpQjP3
Organizers: Nicolau Sarquis Aiex (NTNU), Siao-Hao Guo (NTU), Chung-Jun Tsai (NTU)
