##### Department of Mathematics,

University of California San Diego

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### RTG Colloquium

## Dragos Oprea

#### UCSD

## On the tautological rings of the moduli spaces of K3 surfaces

##### Abstract:

K3 surfaces are two dimensional Calabi-Yau manifolds. Their moduli space is of interest in algebraic geometry, but also has connections with number theory and string theory. I will discuss ongoing joint work with Alina Marian and Rahul Pandharipande aimed at studying the tautological ring of the moduli space of K3 surfaces. In particular, I will discuss different notions of tautological classes. Next, I will explain a method of deriving relations between tautological classes via the geometry of the relative Quot scheme.

Organizers: Algebra/Algebraic Geometry/Number Theory RTG Group

### May 11, 2016

### 2:30 PM

### AP&M 7321

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