Extending differential forms and the Lipman-Zariski conjecture

Topology of Algebraic Varieties
Topic:Extending differential forms and the Lipman-Zariski conjecture
Speaker:Sándor Kovács
Affiliation:University of Washington; Member, School of Mathematics
Date:Wednesday, October 22
Time/Room:11:15am - 12:15pm/S-101
Video Link:http://video.ias.edu/tav/2014/1022-S%C3%A1ndorKov%C3%A1cs

The Lipman-Zariski conjecture states that if the tangent sheaf of a complex variety is locally free then the variety is smooth. In joint work with Patrick Graf we prove that this holds whenever an extension theorem for differential 1-forms holds, in particular if the variety in question has log canonical singularities.