Nonpositive curvature and operator algebras

開催日時: 
2017/10/11 Wed 16:30 - 17:30
場所: 
RIMS110号室
講演者: 
Mikael Pichot
講演者所属: 
京大・数理研 & McGill University
概要: 

The field of operator algebras was begun in the late 1920’s by J. von
Neumann, through his work on abstract Hilbert spaces and the
foundation of quantum mechanics. The subject developed steadily for
nearly a century, and found deep connections with many branches of
mathematics. The talk will discuss, using concrete examples, some of
these connections, in particular with group theory and geometry of
nonpositive curvature. The main focus will be the recent work of
Sylvain Barré and myself on intermediate rank geometry.
I will give some motivation for this work, and explain some of the
leading ideas in the study of discrete groups of intermediate rank.