## Geometry Seminar - Abstracts

### Talk

Thursday 20 December 2018, 16:00-17:00 in HG03.085
Remy van Dobben de Bruyn (IAS)
A variety that cannot be dominated by one that lifts

### Abstract

In the sixties, Serre constructed a smooth projective variety in characteristic $$p$$ that cannot be lifted to characteristic $$0$$. If a variety does not lift, a natural question is whether some variety related to it does. After a brief survey of Serre's example and generalities on lifting, we will construct a smooth projective variety that cannot be dominated by a smooth projective variety that lifts.

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