MS Seminar (Mathematics - String Theory)

Speaker: Yusuke Nakamura (U Tokyo)
Title: On semi-continuity problems for minimal log discrepancies
Date (JST): Tue, Apr 02, 2013, 13:15 - 14:45
Place: Seminar Room A
Abstract: The conjecture of termination of flips is still an open problem in the theory of minimal model program. There are two related conjectures about minimal log discrepancies, LSC (lower semi-continuity) conjecture and Musta\c{t}\u{a}'s conjecture. We show LSC conjecture for varieties which have a crepant resolution in the category of Deligne-Mumford stacks. Using this property, we also prove Musta\c{t}\u{a}'s for toric triples.