On some questions about minimal log discrepancies

Topology of Algebraic Varieties
Topic:On some questions about minimal log discrepancies
Speaker:Mircea Mustata
Affiliation:University of Michigan
Date:Tuesday, March 3
Time/Room:2:00pm - 3:00pm/S-101
Video Link:http://video.ias.edu/TAV/2015_0303-MirceaMustata

The minimal log discrepancy is a measure of singularities of pairs. While akin to the log canonical threshold, it turns out to be much more difficult to study, with many questions still open. I will discuss a question about the boundedness of divisors that compute the minimal log discrepancy on a fixed germ. This is joint work (in progress) with Yusuke Nakamura.