##### Department of Mathematics,

University of California San Diego

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### Algebra Seminar

## Alireza Salehi Golsefidy

#### UCSD

## Translations of horospherical measures and counting problems.

##### Abstract:

In this talk I will show how understanding of the possible limiting measures of translations of a measure can help us to deal with certain counting problems. Then I talk about the limiting measures of translations of a horospherical measure. Finally I discuss how one can use this result to count the number rational points in a flag variety with respect to any line-bundle, reproving a result of Franke-Manin-Tschinkel (anti-canonial line-bundle) and Batyrev-Tschinkel (arbitrary line-bundle). (Joint with A. Mohammadi)

### November 19, 2012

### 2:00 PM

### AP&M 7218

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