
Date : 12월 3일 (금) 10:30 AM

Place : Zoom 896 5654 6548 / 157067

Speaker : Abhishek Oswal (Caltech)

Title : Algebraization theorems in complex and nonarchimedean geometry

Abstract : Algebraization theorems originating from ominimality have found striking applications in recent years to Hodge theory and Diophantine geometry. The utility of ominimality originates from the 'tame' topological properties that sets definable in such structures satisfy. Ominimal 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 ominimal structure is an algebraic subset. In this talk, I shall discuss a nonarchimedean version of this result and some recent applications of these algebraization theorems.

Website: https://sites.google.com/view/snunt/seminars