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SUMMARY:William Hautekiet (Université libre de Bruxelles\, Belgium)
DTSTART:20201123T073000Z
DTEND:20201123T083000Z
DTSTAMP:20260423T021354Z
UID:SiN/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SiN/10/">Aut
 omorphism groups of transcendental field extensions</a>\nby William Hautek
 iet (Université libre de Bruxelles\, Belgium) as part of Symmetry in Newc
 astle\n\n\nAbstract\nIt is well-known that the Galois group of an (infinit
 e) algebraic field extension is a profinite group. When the extension is t
 ranscendental\, the automorphism group is no longer compact\, but has a to
 tally disconnected locally compact structure (TDLC for short). The study o
 f TDLC groups was initiated by van Dantzig in 1936 and then restarted by W
 illis in 1994. In this talk some of Willis' concepts\, such as tidy subgro
 ups\, the scale function\, flat subgroups and directions are introduced an
 d applied to examples of automorphism groups of transcendental field exten
 sions. It remains unknown whether there exist conditions that a TDLC group
  must satisfy to be a Galois group. A suggestion of such a condition is ma
 de.\n
LOCATION:https://researchseminars.org/talk/SiN/10/
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