Extending differential forms and the Lipman-Zariski conjecture

Extending differential forms and the Lipman-Zariski conjecture

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Sándor Kovács, University of Washington
IAS Room 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.