BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kenji Sakugawa (Shinshu University) DTSTART:20211221T080000Z DTEND:20211221T090000Z DTSTAMP:20260423T010856Z UID:JENTE/63 DESCRIPTION:Title: O n the R-mixed Hodge structure on the relative pro-unipotent fundamental gr oup of M_{1\,1}\nby Kenji Sakugawa (Shinshu University) as part of Jap an Europe Number Theory Exchange Seminar\n\n\nAbstract\nLet M_{1\,1} be th e moduli stack of elliptic curves. The relative pro-unipotent fundamental group of M_{1\,1} is a Tannakian fundamental group classifying local syste ms over M_{1\,1} whose simple factors are isomorphic to relative middle co homology groups of open Kuga-Sato varieties over M_{1\,1}. The mixed Hodge structure on it was first defined in a more general context by Hain\, and more detailed studies have recently been started by Hain and Brown. In th is talk\, we will discuss real mixed Hodge structure on the relative pro- unipotent fundamental group in length two.\n LOCATION:https://researchseminars.org/talk/JENTE/63/ END:VEVENT END:VCALENDAR