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 and has generalized mean curvature h  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.

 

WebEX Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=me7551b52ab4e6078b8f632cdf84705b6

Meeting number (access code): 2510 657 1284

Meeting password: 9miH4ZpQjP3

 

Organizers: Nicolau Sarquis Aiex (NTNU), Siao-Hao Guo (NTU), Chung-Jun Tsai (NTU)