BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ben Castle (University of Illinois Urbana-Champaign) DTSTART:20260827T180000Z DTEND:20260827T190000Z DTSTAMP:20260825T025048Z UID:OLS/218 DESCRIPTION:Title: Za riski Topological Reconstruction Theorems via Model Theory\nby Ben Cas tle (University of Illinois Urbana-Champaign) as part of Online logic semi nar\n\nInteractive livestream: https://zoom.us/j/122323340\n\nAbstract\nA recent and quite surprising book of Kollár-Lieblich-Olsson-Sawin (KLOS) s howed that in many cases\, the full structure of an algebraic variety is d etermined by its underlying Zariski topological space. More precisely\, th is means there is a certain classification of all homeomorphisms between v arieties in the relevant cases. The strongest version of the original KLOS theorem only works for certain varieties over uncountable fields of chara cteristic zero. Meanwhile\, in a recent work with Ronan O’Gorman — wor king over uncountable algebraically closed fields — we prove the natural generalization to arbitrary varieties in arbitrary characteristic. Intere stingly\, the key idea in generalizing the proof comes from model theory. In this talk\, I will try to explain what exactly the KLOS theorem says an d why it is interesting\; then I will give a sketch of why the original pr oof failed to generalize and why model theory ends up being relevant.\n LOCATION:https://researchseminars.org/talk/OLS/218/ URL:https://zoom.us/j/122323340 END:VEVENT END:VCALENDAR