BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Simeng Wang DTSTART:20200728T130000Z DTEND:20200728T140000Z DTSTAMP:20260423T035628Z UID:GOBA/3 DESCRIPTION:Title: Ind ividual ergodic theorems on von Neumann algebras\nby Simeng Wang as pa rt of Groups\, Operators\, and Banach Algebras Webinar\n\n\nAbstract\nBirk hoff’s celebrated individual ergodic theorem asserts that for a measure- preserving ergodic transformation on a measure space\, the time average is equal to the space average almost everywhere. Since the theory of von Neu mann algebras is a quantum analogue of the classical measure theory\, it i s natural to study similar individual ergodic theorems in the setting of v on Neumann algebras. The study was exactly initiated by Lance in 1970s\, a nd witnessed fruitful progress in recent decades with the help of modern t ools from the operator space theory\, such as the noncommutative vector-va lued $L^p$-spaces studied by Pisier\, Junge and Xu. This talk aims to give a gentle introduction to the aforementioned topic\, and if time permits\, we may also present some recent results in this direction\, in particular ergodic theorems for some group actions on von Neumann algebras and for p ositive contractions on $L^p$-spaces\, which is joint work with Guixiang H ong\, Ben Liao and Samya Ray.\n LOCATION:https://researchseminars.org/talk/GOBA/3/ END:VEVENT END:VCALENDAR