BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Naganori Yamaguchi (RIMS Kyoto)
DTSTART:20211207T083500Z
DTEND:20211207T090500Z
DTSTAMP:20260423T010856Z
UID:JENTE/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/59/">T
 he m-step solvable anabelian geometry for hyperbolic curves over finitely 
 generated fields</a>\nby Naganori Yamaguchi (RIMS Kyoto) as part of Japan 
 Europe Number Theory Exchange Seminar\n\n\nAbstract\nIn anabelian geometry
 \, there is a conjecture\, called Grothendieck's conjecture (i.e. can we r
 econstruct group-theoretically a hyperbolic curve from its etale fundament
 al group?). This conjecture has been solved in the affirmative in many cas
 es. Regarding this conjecture\, if we replace the fundamental group with i
 ts maximal m-step solvable quotient\, then does the conjecture still hold?
  (Write m-GC for this question). \nm-GC has rarely been proved\, and we on
 ly have three previous studies (Nakamura\, Mochizuki). In this talk\, I  e
 xplain the content of these conjectures and of the previous studies. In pa
 rticular\, I explain a recent result that solves m-GC for affine hyperboli
 c curves over finitely generated fields.\n
LOCATION:https://researchseminars.org/talk/JENTE/59/
END:VEVENT
END:VCALENDAR