BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kush Singhal (Harvard University) DTSTART:20230320T203000Z DTEND:20230320T220000Z DTSTAMP:20260422T220357Z UID:STAGE/78 DESCRIPTION:Title: R eview of reductive algebraic groups\nby Kush Singhal (Harvard Universi ty) as part of STAGE\n\nLecture held in Room 2-449 in the MIT Simons Build ing.\n\nAbstract\nThis will be a crash course on the theory of reductive a lgebraic groups. We will run through basic definitions and results on affi ne algebraic groups\, reductive groups\, and tori. This will be followed b y a discussion on the Lie algebra and the adjoint representation of a redu ctive group. Finally\, if time allows\, we will briefly discuss Borel and parabolic subgroups and their relation to (generalized) flag varieties. No proofs will be given due to time constraints. We will mostly follow parts of Milne's book on Algebraic Groups (available at https://math.ucr.edu/ho me/baez/qg-fall2016/Milne_iAG.pdf) specifically various subsections of cha pters 1-4\, 8\, 9\, 12\, 14\, 18\, & 19. I will thus be covering the prere quisites for Milne's notes on Shimura Varieties (https://www.jmilne.org/ma th/xnotes/svi.pdf)\, as well as the beginning few subsections of Chapters 2 and 5 of these notes.\n LOCATION:https://researchseminars.org/talk/STAGE/78/ END:VEVENT END:VCALENDAR