##### Department of Mathematics,

University of California San Diego

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### Math 296 - Graduate Student Colloquium

## Jonathan Novak

#### UCSD

## An invitation to group integrals

##### Abstract:

At some point in graduate school, everyone encounters the rather abstract theorem that every compact topological group possess a unique translation-invariant probability measure, known as the Haar measure. Rarely, if ever, is the concrete problem of computing integrals under this measure addressed. I will explain an analogue of the Fundamental Theorem of Calculus in this setting: a theorem which reduces the computation of a large class of group integrals to a symbolic problem. This symbolic problem can, in some important cases, be cleverly solved using techniques from algebraic combinatorics.

Organizer: Ioan Bejenaru

### February 18, 2016

### 11:00 AM

### AP&M 6402

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