Probabilistic Operator Algebra Seminar: Microstates free entropy: definition, examples and applications.

Seminar | September 25 | 3-5 p.m. | 736 Evans Hall

 Srivatsav Kunnawalkam Elayavalli, UC Berkeley

 Department of Mathematics

In this talk, I will primarily discuss the work of Voiculescu in the paper " The analogues of entropy and of Fisher information in free probability II". We will motivate and define a free analogue of entropy via approximating matricial microstates, as inspired by the classical Boltzmann definition. Then we will discuss an attempt to resolve the free group factors isomorphism problem using microstates free entropy dimension, and its shortcomings.