Robin Tucker-Drob: Treeability and planarity in measured group theory

Mathematical logic seminar – January 27, 2015
Time:     12:30 – 13:30

Room:     Wean Hall 8201

Speaker:         Robin Tucker-Drob
Department of Mathematics
Rutgers University

Title:     Treeability and planarity in measured group theory

Abstract:

A probability measure preserving (p.m.p.) action of a group G is said to be treeable if the orbits of the action can be measurably structured by trees. A countable group G is called treeable if it has a free p.m.p. action which is treeable. The group G is called strongly treeable if all of its free p.m.p. actions are treeable. I will discuss recent joint work with C. Conley, D. Gaboriau, and A. Marks in which we show that finitely generated groups with planar Cayley graphs (e.g., surface groups) are strongly treeable. This provides the first examples of nonamenable strongly treeable groups with one end.

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