BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kenz Kallal (Princeton University) DTSTART:20241007T143000Z DTEND:20241007T160000Z DTSTAMP:20260422T220659Z UID:STAGE/114 DESCRIPTION:Title: Second order differential equations and projective connections\nby Ken z Kallal (Princeton University) as part of STAGE\n\nLecture held in Room 2 -449 in the MIT Simons Building.\n\nAbstract\nReference: Deligne\, Section 5.\n\nIn the previous section\, Deligne sets up an equivalence of categor ies between order-n differential equations on line bundles on curves and r ank-n vector bundles with connection plus the extra data of a certain cycl ic morphism. \n\nIn section 5\, Deligne reinterprets the special case n = 2 in terms of a connection on a certain bundle and another uniformization datum called a projective connection. I will prove this alternative equiva lence of categories\, focusing on the different ways of viewing and comput ing with projective connections.\n LOCATION:https://researchseminars.org/talk/STAGE/114/ END:VEVENT END:VCALENDAR