BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dominic Bunnett (TU Berlin) DTSTART:20231214T150000Z DTEND:20231214T160000Z DTSTAMP:20260823T234959Z UID:EssexMaths/97 DESCRIPTION:Title: Moduli spaces of hypersurfaces and their topology\nby Dominic Bunn ett (TU Berlin) as part of MESS (Mathematics Essex Seminar Series)\n\nLect ure held in STEM 3.1.\n\nAbstract\nA hypersurface is defined by the vanish ing of a single polynomial equation. One constructs a moduli space of hype rsurfaces by considering all equations and quotienting out by the group ac tion given by changing coordinates. In the classical setting of hypersurfa ces in projective space the group of coordinate changes is SLn which is a reductive group. Thus techniques of geometric invariant theory can be used to define notions of stability for hypersurfaces\, put algebraic structur e on the quotient space and even explicitly study the topology. In this ta lk\, we revisit these classical techniques and extend them to the non-redu ctive setting\, which is the setting for many moduli problems. We will com pute the cohomology of the moduli spaces of some low degree del Pezzo surf aces.\n\nRoom: STEM 3.1 https://findyourway.essex.ac.uk/bcdc98e0-e3c3-11eb -b52e-05a67b7792fc/search/projects/23/60ef1a882031e800c230405d\n LOCATION:https://researchseminars.org/talk/EssexMaths/97/ END:VEVENT END:VCALENDAR