General (Main) Seminar MSRI program on DDC-Special structures and unlikely intersections
Fri, 23 October, 2020
4:00pm
Organizer: V. Harizanov and A. Shlapentokh
For link contact [email protected]
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.