|Topology of Algebraic Varieties|
|Topic:||Extending differential forms and the Lipman-Zariski conjecture|
|Affiliation:||University of Washington; Member, School of Mathematics|
|Date:||Wednesday, October 22|
|Time/Room:||11:15am - 12:15pm/S-101|
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.