BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Pointwise Ergodic Theorems for Amenable Groups through Random Walk
 s - Ujan Chakraborty (University of Glasgow)
DTSTART:20250703T091000Z
DTEND:20250703T093000Z
UID:TALK233200@talks.cam.ac.uk
DESCRIPTION:We have a new and elementary proof of the pointwise ergodic th
 eorem for amenable groups that uses random walk techniques. This is consid
 erably simpler than Lindenstrauss' original proof (2001)\, and allows us t
 o prove the classical (Lindenstrauss\, 2001) and noncommutative (Cadilhac 
 and Wang\, 2022) versions in the same setting. The technique is to use a s
 uitably chosen random walk to dominate the process of averaging along cert
 ain Folner sets by the average of an integer action (affected by a majoris
 ation inequality of measures on the group)\, so that effectively one can r
 educe any amenable group action to an integer action. The talk will be bas
 ed on a joint paper with Joachim Zacharias and Runlian Xia (draft in prepa
 ration).
LOCATION:External
END:VEVENT
END:VCALENDAR