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SUMMARY:Abhishek Oswal (University of Toronto)
DTSTART:20200608T150000Z
DTEND:20200608T160000Z
DTSTAMP:20260513T204520Z
UID:CMI/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CMI/12/">A n
 on-archimedean definable Chow theorem.</a>\nby Abhishek Oswal (University 
 of Toronto) as part of CMI seminar series\n\n\nAbstract\nO-minimality has 
 had some striking applications to number theory.\nThe utility of o-minimal
  structures originates from the remarkably\ntame topological properties sa
 tisfied by sets definable in such\nstructures. Despite the rigidity that i
 t imposes\, the theory is\nsufficiently flexible to allow for a range of a
 nalytic constructions.\nAn illustration of this `tame' property is the fol
 lowing surprising\ngeneralization of Chow's theorem proved by Peterzil and
  Starchenko -\nA closed analytic subset of a complex algebraic variety tha
 t is also\ndefinable in an o-minimal structure\, is in fact algebraic. Whi
 le the\no-minimal machinery aims to capture the archimedean order topology
  of the\nreal line\, it is natural to wonder if such a machinery can be se
 t up over\nnon-archimedean fields. In this talk\, we explore a non-archime
 dean\nanalogue of an o-minimal structure and describe a version of the def
 inable\nChow theorem in this context.\n
LOCATION:https://researchseminars.org/talk/CMI/12/
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