Topology Seminar (Introductory Talk): Periodic dynamics on tori and elliptic curves

Seminar | October 3 | 2-3 p.m. | 736 Evans Hall

 Yusuf Baris Kartal, MIT

 Department of Mathematics

In this introductory talk, we will discuss periodic dynamics on (punctured ) 2-torus, its algebraic incarnations, and its relations to dynamics on elliptic curves. In particular, we will give a geometric picture of how this could be used to distinguish total spaces of fibrations over tori/of analytic fibrations over elliptic curves. We will also try to demonstrate the periodic behavior of "flow lines" can survive in degenerate cases at an algebraic level.