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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

February 11, 2014 (02:15 PM PST - 03:00 PM PST)
Speaker(s): Holly Krieger (Massachusetts Institute of Technology)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC


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.

20180?type=thumb Krieger Notes 142 KB application/pdf Download
Video/Audio Files


H.264 Video v1271.mp4 258 MB video/mp4 rtsp://videos.msri.org/data/000/019/930/original/v1271.mp4 Download
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