Videolibrary
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Video Library
Archive
Most viewed videos

Search
RSS
New in collection






International symposium "Arithmetic days in Moscow"
June 16, 2011 16:15, Moscow, Steklov Mathematical Institute
 


Some results beyond the conjectures of André–Oort and Manin–Mumford

Ph. Habegger

University of Zürich

Number of views:
This page:143

Ph. Habegger

Abstract: The Manin–Mumford Conjecture, a theorem of Raynaud, governs the distribution of torsion points on subvarieties of abelian varieties with respect to the Zariski topology. The conceptually related André–Oort Conjecture describes the special points on subvarieties of Shimura varieties. It was proved by Klingler, Ullmo, and Yafaev under the Generalized Riemann Hypothesis. In this talk I will describe a recent result on a combination of these two conjectures in the “mixed” setting. I will also report on joint work with Jonathan Pila on unlikely intersections beyond the André–Oort Conjecture in a product of modular curves.

Language: English

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021