This is a learning seminar whose aim is to understand the Pila–Wilkie approach via o-minimality to diophantine problems of Andre–Oort type

The seminar meets on Tuesdays, 10:10-12:00, in online

This Week


Assaf Hasson (BGU)

Definable complex spaces (cont.)


2020–21–B meetings

Date
Title
Speaker
Abstract
Mar 2 O-minimal GAGAOnline Amnon Besser (BGU)

We will start reading the paper O-minimal GAGA and a conjecture of Griffiths

Mar 9 Analyticity, algebraicity and definability — on the o-minimal version of Chow’s TheoremOnline Kobi Peterzil (Haifa)

Chow’s theorem says that a compact analytic submanifold of projective space is algebraic. A generalization of this result (proved with Starchenko) says that a complex analytic subvariety of affine space which in addition is definable in some o-minimal structure over the reals is algebraic.

In these 2-3 talks I will speak about the history of this problem, several related and less known results, and the reasons to expect the theorem to be true (not a full proof).

Some minimal background on definability in structures, as well as basics of o-minimality will be assumed.

Mar 16 Analyticity, algebraicity and definability — on the o-minimal version of Chow’s Theorem (cont.)Online Kobi Peterzil (Haifa)
Apr 6 Definable complex spacesOnline Assaf Hasson (BGU)
Apr 13 Definable complex spaces (cont.) Assaf Hasson (BGU)

Seminar run by Dr. Moshe Kamensky