BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yu Yang (RIMS\, Kyoto University) DTSTART:20230322T010000Z DTEND:20230322T020000Z DTSTAMP:20260423T005850Z UID:UAANTS/61 DESCRIPTION:Title: Moduli spaces of fundamental groups in positive characteristic\nby Yu Yang (RIMS\, Kyoto University) as part of University of Arizona Algebra an d Number Theory Seminar\n\n\nAbstract\nIn the 1980s\, A. Grothendieck sugg ested a theory of arithmetic geometry called "anabelian geometry". This th eory focuses on the following fundamental question: How much information a bout algebraic varieties can be carried by their algebraic fundamental gro ups? The conjectures based on this question are called Grothendieck's anab elian conjectures which have been studied deeply when the base fields are arithmetic (e.g. number fields\, p-adic fields\, finite fields\, etc.) sin ce the 1990s\, and the non-trivial Galois representations play vital roles . \n\nOn the other hand\, in 1996\, A. Tamagawa discovered surprisingly that anabelian phenomena also exist for curves over algebraically closed f ields of characteristic p>0 (i.e.\, no Galois actions). In this talk\, I w ill explain these kinds of anabelian phenomena from the point of view of " moduli spaces of fundamental groups" introduced by the speaker\, which giv es a general framework for describing the anabelian phenomena for curves o ver algebraically closed fields of characteristic p.\n LOCATION:https://researchseminars.org/talk/UAANTS/61/ END:VEVENT END:VCALENDAR