General (Main) Seminar MSRI program on DDC-Special structures and unlikely intersections 

Organizer: V. Harizanov and A. Shlapentokh

For link contact harizanvgwu [dot] edu

Friday, October 23, 12:00-1:00 ET on Zoom

Andrei Yafaev, University College London

Title: Special structures and unlikely intersections 

Abstract: We introduce an axiomatic setting where conjectures about “unlikely intersections” make sense, in the spirit of Zilber’s trichotomy.  We will review several typical examples where such situations occur - tori, abelian varieties, Shimura varieties, more generally mixed Shimura varieties. In the talk the following week, Laura Capuano will treat in detail the case of abelian schemes and the relative Manin-Mumford problem.