##### Department of Mathematics,

University of California San Diego

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### Math 208 - Algebraic Geometry Seminar

## Pierrick Bousseau

#### ETH Zurich

## Quasimodular forms from Betti numbers

##### Abstract:

This talk will be about refined curve counting on local $P^2$, the noncompact Calabi-Yau 3-fold total space of the canonical line bundle of the projective plane. I will explain how to construct quasimodular forms starting from Betti numbers of moduli spaces of one-dimensional coherent sheaves on $P^2$. This gives a proof of some stringy predictions about the refined topological string theory of local $P^2$ in the Nekrasov-Shatashvili limit. This work is in part joint with Honglu Fan, Shuai Guo, and Longting Wu.

Host: Dragos Oprea

### May 15, 2020

### 9:00 AM

### Zoom (Contact James McKernan)

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