# Constructing varieties with prescribed Hodge numbers modulo m in positive characteristic

### Remy van Dobben de Bruyn (Princeton and IAS)

 Fri Apr 30, 19:00-20:00 (2 weeks from now) Login required for livestream access

Abstract: The inverse Hodge problem asks which possible Hodge diamonds can occur for smooth projective varieties. While this is a very hard problem in general, Paulsen and Schreieder recently showed that in characteristic 0 there are no restrictions on the modulo $m$ Hodge numbers, besides the usual symmetries. In joint work with Matthias Paulsen, we extend this to positive characteristic, where the story is more intricate.

algebraic geometry

Audience: researchers in the topic