BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Michail Savvas (UT Austin) DTSTART:20220408T190000Z DTEND:20220408T200000Z DTSTAMP:20260407T214920Z UID:agstanford/85 DESCRIPTION:Title: Reduction of stabilizers and generalized Donaldson-Thomas invariants\nby Michail Savvas (UT Austin) as part of Stanford algebraic geometry s eminar\n\n\nAbstract\nStarting with a sufficiently nice Artin stack\, we e xplain a canonical blowup procedure that produces a Deligne-Mumford stack\ , resolving the locus of points with infinite automorphism group. This con struction can be applied to moduli stacks parametrizing semistable sheaves or complexes on Calabi-Yau threefolds. We show that their stabilizer redu ctions admit natural virtual fundamental cycles\, allowing us to define ge neralized Donaldson-Thomas invariants which act as counts of these objects . Everything in this talk is (maybe not so) secretly expected to be the sh adow of a corresponding phenomenon in derived algebraic geometry\, giving a new\, derived perspective on Donaldson-Thomas invariants.\n\nBased on jo int work with Young-Hoon Kiem and Jun Li and joint work in progress with J eroen Hekking and David Rydh.\n\nThe synchronous discussion for Michail Sa vvas’ talk is taking place not in zoom-chat\, but at https://tinyurl.com /2022-04-08-ms (and will be deleted after ~3-7 days).\n LOCATION:https://researchseminars.org/talk/agstanford/85/ END:VEVENT END:VCALENDAR