拓扑群, C*-代数,对称空间的边界,和Lyapounov指数(Boundaries of topological groups, C*-algebras, symmetric spaces, and Lyapounov exponents, Dec.17-21, 2018)

2018-12-17 ~ 2018-12-21 1152

Dates: 17-21 December 2018

There are several notions of an ideal boundary that can be attached to a locally compact group; one related to harmonic functions, another relating to the behavior of (group invariant) random walks on the group, and a third arising in the context of group actions with certain "proximality" properties.

Remarkably for semi-simple Lie groups these notions coincide. More recently an important connection with C*-algebras has been found.? They also play a role in questions of rigidity a-la Mostow Margulis, and also in formulating "qualitative" laws of large numbers for products of random matrices. These and other applications will be studied.

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Organizers

Name

University

Hillel ? Furstenberg

Hebrew ? University in Jerusalem

Alex Furman

University of ? Illinois at Chicago

Omer Tamuz

California ? Institute of Technology

Participants

participant - Boundaries of topological groups, C*-algebras, symmetric spaces, and Lyapounov exponents.pdf

Group photo

Master Lecture_0634A.jpg

Master Lecture_0634.jpg