**Special Colloquium**

**Speaker**: Tom Hutchcroft (California Institute of Technology)

**Title**: Probability on groups

**Abstract**: It is a famous aphorism of Gromov that there are no non-trivial theorems that hold for all finitely generated groups. Modern probability theory has (arguably) led to several counterexamples to this claim, with a rich seam of research over the last few decades devoted to understanding the behaviour of probabilistic processes on arbitrary finitely generated groups and other homogeneous geometries. I will give an introduction to this topic, emphasizing connections to more classical topics in group theory. Time permitting, I will describe how many of the ideas developed in this field come together in my recent solution, joint with Philip Easo, of Schramm’s locality conjecture in percolation theory.

**Date and Time**: Friday January 26, 1:30 PM

**Location**: 520 Mathematics