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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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