BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Egor Yasinsky (École Polytechnique) DTSTART:20220324T110000Z DTEND:20220324T120000Z DTSTAMP:20260423T005759Z UID:notts_ag/95 DESCRIPTION:Title: Birational involutions of the projective plane\nby Egor Yasinsky (É cole Polytechnique) as part of Online Nottingham algebraic geometry semina r\n\n\nAbstract\nBirational involutions of the projective plane (or\, equi valently\, automorphisms of the field of rational functions in two variabl es of order 2) were studied already by the Italian school of algebraic geo metry — Bertini\, Castelnuovo\, and Enriques. However\, their explicit a nd complete description was obtained by Beauville and Bayle only in 2000 a nd only in the case of a complex projective plane. It turns out that for p lanes over algebraically non-closed fields the situation is much more comp licated. In the first part of the talk\, I will review what is known about birational involutions of projective planes over various fields. In the s econd part\, I will talk about the joint work with I. Cheltsov\, F. Mangol t and S. Zimmerman\, in which we classified birational involutions of the real projective plane.\n LOCATION:https://researchseminars.org/talk/notts_ag/95/ END:VEVENT END:VCALENDAR