##### Department of Mathematics,

University of California San Diego

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### Math 208 - Algebraic Geometry Seminar

## Nikolas Kuhn

#### Institut Mittag Leffler

## Blowup formulas for virtual sheaf-theoretic invariants on projective surfaces

##### Abstract:

For a smooth projective surface X, natural objects of study are its moduli spaces of (semi-) stable coherent sheaves. In rank one, their structural invariants are well-understood, starting with G\"{o}ttsche's famous formula for the Betti numbers of the Hilbert schemes of points of X in terms of the Betti numbers of X itself. Even for rank two

Host: Dragos Oprea

### October 15, 2021

### 11:00 AM

Contact Samir Canning at srcannin@ucsd.edu for zoom info.

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