Time: 15:00
Speaker: Boris Ugurcan (Western University (Assistant Professor and Postdoctoral Fellow))
Title: "Non-commutative Stochastic Processes, Semi-groups and Dilation Theory"
Room: MC 107

Abstract: In the first part of the talk, we recall the well-known correspondence between semi-groups and stochastic processes both in the commutative and non-commutative settings. We explain how this correspondence can be used to develop analysis on singular spaces such as fractals. Then, we proceed to a survey (including our results) of dilation theorems in operator algebras and how these theorems appear in the study of non-commutative stochastic processes.