The geometry of algebraic dynamical systems
Connections for Women: Model Theory and Its Interactions with Number Theory and Arithmetic Geometry February 10, 2014 - February 11, 2014
Location: MSRI: Simons Auditorium
I consider the following question: what aspects of the geometry of a variety prohibit the existence of an "interesting" dynamical system on that variety? There are various geometric conditions on a variety which forbid the existence of algebraically or arithmetically interesting dynamical systems. I will discuss various conditions of this kind, and the consequences for conjectures regarding unlikely intersections in algebraic dynamics. Time permitting, I will discuss recent work with Paul Reschke on the non-existence of polarized endomorphisms for varieties with non-surjective Albanese map, and consider what kind of endomorphisms these varieties can carry.
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.