BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:William Slofstra (Waterloo) DTSTART:20221108T140000Z DTEND:20221108T160000Z DTSTAMP:20260423T023012Z UID:WienGAGT/27 DESCRIPTION:Title: Group theory and nonlocal games\nby William Slofstra (Waterloo) as p art of Vienna Geometry and Analysis on Groups Seminar\n\n\nAbstract\nNonlo cal games are simple games used in quantum information to explore the powe r of entanglement. They are closely connected with Bell inequalities\, whi ch have been in the news recently as the subject of this year's Nobel priz e in physics. In this talk\, I'll give an overview of a class of nonlocal games called linear system nonlocal games\, which are particularly interes ting from the point of view of group theory\, in that every linear system nonlocal games has an associated group which controls the perfect strategi es for the game. The associated groups are finite colimits of finite abeli an groups\, and exploring this class of groups from the perspective of non local games gives rise to a number of interesting results and problems in group theory. For the introductory talk\, I'll cover some of the backgroun d concepts that come up: pictures of groups\, residual finiteness\, and hy perlinearity (if time permits\, I may sketch the construction of a group w ith superpolynomial hyperlinear profile).\n LOCATION:https://researchseminars.org/talk/WienGAGT/27/ END:VEVENT END:VCALENDAR