Arithmetic applications of o-minimality Ical Atom Mailing List

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
Attend Online

2020–21–A meetings

Date
Title
Speaker
Abstract
Oct 20, 10:00–12:00 OverviewOnline Moshe Kamensky

I will review the subject, partially following the notes by T. Scanlon
Oct 27, 10:00–12:00 Definability and o-minimalityOnline Assaf Hasson
Nov 3, 10:00–12:00 o-minimalityOnline Assaf Hasson
Nov 10 The Pila–Wilkie theoremOnline Amnon Besser
Nov 17 The Pila–Wilkie theorem (cont.)Online Amnon Besser
Nov 24 On the Diophantine applications of the Pila Wilkie theoremsOnline Kobi Peterzil (Haifa)
Dec 1 On the Diophantine applications of the Pila Wilkie theorems (cont.)Online Kobi Peterzil (Haifa)
Dec 8 Ax–Lindemann type results via differential algebraOnline Moshe Kamensky (BGU)
Dec 15 Ax–Lindemann with derivatives for Fuchsian groupsOnline Moshe Kamensky

I will review some ALW-type results for the $j$ function and its derivative, following the paper Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups
Dec 22 Shimura varietiesOnline Daniel Disegni
Dec 29, 11:10–12:00 Shimura varieties (cont.)Online Daniel Disegni
Jan 5 O-minimal GAGAOnline Amnon Besser (BGU)

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

Seminar run by Dr. Moshe Kamensky