Model Theory and Applications

Collection Model Theory and Applications

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Date(s) 26/03/2018 - 30/03/2018
00:00:00 / 00:00:00
13 18

Definably simple groups in valued fields

By Dugald Macpherson

I will discuss joint work with Gismatullin, Halupczok, and Simonetta on the following problem: given a henselian valued field of characteristic 0, possibly equipped with analytic structure, describe the possibilities for a definable group G in the valued field sort which is definably almost simple, that is, has no proper infinite definable normal subgroups. We also have results for an algebraically closed valued field K in characteristic p, but assuming also that the group is a definable subgroup of GL(n,K).

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  • Date of recording 29/03/2018
  • Date of publication 30/03/2018
  • Institution IHP
  • Format MP4

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