Algebraic Dynamics Seminar at Harvard

We meet in Room 232 of the Science Center, usually on Thursdays at 4pm. Seminars are typically two hours long, with a break in the middle and the second hour for more details. Please email me (Laura DeMarco) if you are interested in joining the email list, so I can send you announcements (and Zoom links if the talk is remote). The math department is locked, so let me know if you are not from Harvard but would like to attend a lecture.

Next talk:

Thursday, April 4, 2024, 4-6pm in Room 232

Max Weinreich (Harvard)

Title: Complex billiards in the Fermat hyperbola

Abstract: Last summer, in this seminar, I introduced a dynamical system called "complex billiards" that extends the classical real billiards map to the setting of curves over algebraically closed fields. The dynamical degree of complex billiards is an invariant that describes the "algebraic entropy", or chaos, of the system. In my previous talk, I proved an upper bound on this dynamical degree. In this talk, we derive lower bounds on the dynamical degree (a more challenging problem) through a careful study of one very special billiard table, the Fermat hyperbola. Independently of this result, we construct an algebraically stable model for complex billiards in the Fermat hyperbola using a little bit of complex dynamics. It is NOT necessary to have attended (or to remember) the previous talk, as I will begin again with all the key definitions.


See also the Informal Geometry & Dynamics seminar on Wednesdays.

2023-2024

July 5-6. Max Weinreich, Harvard
September 21. Robin Zhang, MIT
October 19. Jit Wu Yap, Harvard
November 15, WEDNESDAY. Laura DeMarco, in the Informal Geometry & Dynamics seminar
November 30. Vanessa Matus de la Parra, Rochester
April 4. Max Weinreich, Harvard


Past talks