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SUMMARY:Abhishek Oswal (Caltech)
DTSTART:20211203T013000Z
DTEND:20211203T023000Z
DTSTAMP:20260423T021257Z
UID:SNUNT/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNUNT/5/">Al
 gebraization theorems in complex and non-archimedean geometry</a>\nby Abhi
 shek Oswal (Caltech) as part of SNU Number Theory Seminar\n\n\nAbstract\nA
 lgebraization theorems originating from o-minimality have found striking a
 pplications in recent years to Hodge theory and Diophantine geometry. The 
 utility of o-minimality originates from the 'tame' topological properties 
 that sets definable in such structures satisfy. O-minimal geometry thus pr
 ovides a way to interpolate between the algebraic and analytic worlds. One
  such algebraization theorem that has been particularly useful is the defi
 nable Chow theorem of Peterzil and Starchenko which states that a closed a
 nalytic subset of a complex algebraic variety that is simultaneously defin
 able in an o-minimal structure is an algebraic subset. In this talk\, I sh
 all discuss a non-archimedean version of this result and some recent appli
 cations of these algebraization theorems.\n
LOCATION:https://researchseminars.org/talk/SNUNT/5/
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