Prof. Stefaan Vaes | Rothschild Lecture: Classification of von Neumann algebras

Описание: Speaker: Professor Stefaan Vaes (KU Leuven)
Date: 12th Jun 2017 - 16:00 to 17:00
Venue: INI Seminar Room 1
Title: Rothschild Lecture: Classification of von Neumann algebras
Event: (OASW03) Subfactors, K-theory and conformal field theory
Abstract: The theme of this talk is the dichotomy between amenability and non-amenability. Because the group of motions of the three-dimensional Euclidean space is non-amenable (as a group with the discrete topology), we have the Banach-Tarski paradox. In dimension two, the group of motions is amenable and there is therefore no paradoxical decomposition of the disk. This dichotomy is most apparent in the theory of von Neumann algebras: the amenable ones are completely classified by the work of Connes and Haagerup, while the non-amenable ones give rise to amazing rigidity theorems, especially within Sorin Popa's deformation/rigidity theory. I will illustrate the gap between amenability and non-amenability for von Neumann algebras associated with countable groups, with locally compact groups, and with group actions on probability spaces.
-------------------

FOLLOW US
🌐| Website: https://www.newton.ac.uk
🎥| Main Channel:    / @isaacnewtoninstitute  
🐦| Twitter:   / newtoninstitute  
💬| Facebook:   / newton.institute  
📷| Instagram:   / isaacnewtoninstitute  
🔗| LinkedIn:   / isaac-newton-institute-for-mathematical-sc...  

SEMINAR ROOMS
🥇| INI Seminar Room 1:    / @iniseminarroom1  
🥈| INI Seminar Room 2:    / @iniseminarroom2  
🛰️| INI Satellite Events:    / @inisatellite  

ABOUT
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.

👉 Learn more about us and our events here: https://www.newton.ac.uk