BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tullio Ceccherini-Silberstein (U. Sannio) DTSTART:20221025T130000Z DTEND:20221025T150000Z DTSTAMP:20260423T041010Z UID:WienGAGT/26 DESCRIPTION:Title: Sofic entropy and surjunctive dynamical systems\nby Tullio Ceccherin i-Silberstein (U. Sannio) as part of Vienna Geometry and Analysis on Group s Seminar\n\nLecture held in SR 10\, 2. OG.\, OMP 1.\n\nAbstract\nA dynami cal system is a pair \\((X\,G)\\)\, where \\(X\\) is a compact metrizable space and \\(G\\) is a countable group acting by homeomorphisms of \\(X\\) . An endomorphism of \\((X\,G)\\) is a continuous selfmap of \\(X\\) which commutes with the action of \\(G\\). A dynamical system \\((X\, G)\\) is said to be surjunctive if every injective endomorphism of \\((X\,G)\\) is surjective. When the group \\(G\\) is sofic\, the combination of suitable dynamical properties (such as expansivity\, nonnegative sofic topological entropy\, weak specification\, and strong topological Markov property) gua rantees that (X\,G) is surjunctive. I'll explain in detail all notions inv olved\, the motivations\, and outline the main ideas of the proof of this result obtained in collaboration with Michel Coornaert and Hanfeng Li.\n LOCATION:https://researchseminars.org/talk/WienGAGT/26/ END:VEVENT END:VCALENDAR