This is a reminder for the upcoming talk on Thursday 27 October. https://sites.google.com/math.iitb.ac.in/geometric-analysis/home Speaker: Panchugopal Bikram (NISER-Bhubaneswar) Time: October 27, Thursday, 5 pm (Indian Standard Time) Title: On the non-commutative Neveu decomposition and stochastic ergodic theorems Abstract: In this talk we discuss the non-commutative analogue of Neveu decomposition for actions of locally compact amenable groups on finite von Neumann algebras. In addition, we assume $G = \Z_+$ or $G$ is a locally compact group of polynomial growth with a symmetric compact generating set $V$, then for a state preserving action $\alpha$ of $G$ on a finite von Neumann algebra $M$, discuss the convergence in bilateral almost uniformly of the ergodic averages associated with the predual action on $M_{*}$ corresponding to the F\o lner sequence $\{K_n\}_{n \in \N}$ (where $K_n = \{ 0, 1, \ldots n-1 \}$ for $G= \Z_+$ and $K_n = V^n$ otherwise) . At the end, using these results, we establish the stochastic ergodic theorem. Google Meet joining info: Video call link: https://meet.google.com/nir-pyzj-hxf Or dial: ‪(US) +1 978-615-9747‬ PIN: ‪439 474 149‬#