##### Department of Mathematics,

University of California San Diego

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### Postdoc seminar

## Dr. Marco Carfagnini

#### UCSD

## Brownian Motion on Lie Groups and Quasi-Invariance

##### Abstract:

In this talk we will discuss how to define Brownian motions on a curved space. We will briefly discuss some definitions on Riemannian manifolds and then focus on a construction on Lie groups. If time permits, we will discuss quasi-invariance with respect to left/right-multiplication and how this is related to the geometry of the group. (p.s. a background in probability is not required)

### April 27, 2023

### 3:00 PM

APM 5829

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