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SUMMARY:Mark Shusterman (Harvard)
DTSTART:20211109T213000Z
DTEND:20211109T223000Z
DTSTAMP:20260423T125924Z
UID:MITNT/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/38/">F
 initely Presented Groups in Arithmetic Geometry</a>\nby Mark Shusterman (H
 arvard) as part of MIT number theory seminar\n\nLecture held in Room 2-143
  in the Simons building.\n\nAbstract\nWe discuss the problem of determinin
 g the number of generators and relations of several profinite groups of ar
 ithmetic and geometric origin. \nThese include etale fundamental groups of
  smooth projective varieties\, absolute Galois groups of local fields\, an
 d Galois groups of maximal unramified extensions of number fields. The res
 ults are based on a cohomological presentability criterion of Lubotzky\, a
 nd draw inspiration from well-known facts about three-dimensional manifold
 s\, as in arithmetic topology.   \n\nThe talk is based in part on collabor
 ations with Esnault\, Jarden\, and Srinivas.\n
LOCATION:https://researchseminars.org/talk/MITNT/38/
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