Measure rigidity in higher rank lattice actions (1/3)

8 juil. 2025, 16:00
1h
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Orateur

Homin Lee (Northwestern University)

Description

In this mini-course, we will discuss about actions of higher rank lattices, focusing on how measures and measure rigidity play important roles in various settings.
First, we introduce some definitions and properties related to actions of higher rank lattices and measure rigidity results.
Then, using measure rigidity, we will discuss classical theorems, Margulis’ normal subgroup theorem and Margulis’ superrigidity theorem, as well as, recent works on smooth actions of higher rank lattices on manifolds, so-called Zimmer program.

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