##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry Colloquium

## Hsian-Hua Tseng

#### University of Wisconsin

## Recent progress in Gromov-Witten theory of Deligne-Mumford stacks

##### Abstract:

t has been over two decades since M. Gromov initiated the study of pseudo-holomorphic curves in symplectic manifolds. In the past decade we have witnessed mathematical constructions of Gromov-Witten theory for algebraic varieties, as well as many major advances in understanding their properties. Recent works in string theory have motivated us to extend our interests to Gromov-Witten theory for Deligne-Mumford stacks. Such a theory has been constructed, but many of its properties remain to be understood. In this talk I will explain the main ingredients of Gromov-Witten theory of Deligne-Mumford stacks, and I will discuss some recent progress regarding main questions in Gromov-Witten theory of Deligne-Mumford stacks.

Host: Mark Gross

### January 20, 2009

### 3:00 PM

### AP&M 6402

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