qsms.math.snu.ac.kr - [SNU Number Theory Seminar 2021.12.03] Algebraization theorems in complex and non-archimedean geometry

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일정시작	2021-12-03
배경색상	#FF5733

일정시작

2021-12-03

배경색상

#FF5733

Date : 12월 3일 (금) 10:30 AM
Place : Zoom 896 5654 6548 / 157067
Speaker : Abhishek Oswal (Caltech)
Title : Algebraization theorems in complex and non-archimedean geometry
Abstract : Algebraization theorems originating from o-minimality have found striking applications 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 provides a way to interpolate between the algebraic and analytic worlds. One such algebraization theorem that has been particularly useful is the definable Chow theorem of Peterzil and Starchenko which states that a closed analytic subset of a complex algebraic variety that is simultaneously definable in an o-minimal structure is an algebraic subset. In this talk, I shall discuss a non-archimedean version of this result and some recent applications of these algebraization theorems.
Website: https://sites.google.com/view/snunt/seminars

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2021.09.09

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[SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture

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