##### Department of Mathematics,

University of California San Diego

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### Geometric Analysis

## Spyros Alexakis

#### Princeton University

## The decomposition of global conformal invariants: On a conjecture of Deser and Schwimmer

##### Abstract:

Global conformal invariants are integrals of geometric scalars which remain invariant under conformal changes of the underlying metric. I will discuss (parts of) my recent proof of a conjecture of Deser and Schwimmer, which states that any such global invariant can be decomposed into standard ``building blocks" of three types. Time permiting, I will also present some applications and related open problems.

Host: Kate Okikiolu

### January 22, 2008

### 3:00 PM

### AP&M 6402

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