Mathematical Sciences Research Institute

Home » Workshop » Schedules » Galois theory of period and the André-Oort conjecture

Galois theory of period and the André-Oort conjecture

Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017

March 27, 2017 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Yves Andre (Centre National de la Recherche Scientifique (CNRS))
Location: MSRI: Simons Auditorium


The idea of a Galois theory of periods comes from an insight of Grothendieck. I shall briefly outline of this (conjectural) theory, then sketch the path which led me from it to the AO conjecture, as well as some paths backward. Principally polarized abelian varieties of dimension  g  are parametrized by the algebraic variety  A_g, those with prescribed extra "symmetries" by special subvarieties of  A_g, and those with maximal symmetry (complex multiplication) by special points. The AO conjecture characterizes special subvarieties of  A_g  by the density of their special points. It has been proven last year, after two decades of collaborative efforts putting together many different areas

28366?type=thumb Andre. Notes 126 KB application/pdf Download
Video/Audio Files


H.264 Video 1-Andre_b2.mp4 111 MB video/mp4 rtsp://videos.msri.org/data/000/028/140/original/1-Andre_b2.mp4 Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath - Streaming Video page.