# NCG

## Seminar

### On cristalline Deligne cohomology

Seminar Room 1, Newton Institute

#### Abstract

Let X be a smooth projective variety and Y be its infinitesimal deformation. I will give a complete answer to the following question:

when a class in the algebraic K-group of $X$ lifts to $Y$?

The answer will be given in terms of the infinitesimal variation of Hodge structure associated to Y.