Cable Car Algebra Seminar: Equidistribution of CM points

Cable Car Algebra Seminar: Equidistribution of CM points

Cable Car Algebra Seminar: Equidistribution of CM points

Thursday, June 6, 2024
  • Lecturer: Francesco Maria Saettone (BGU)
  • Organizer: Max Gurevich, Anton Khoroshkin, Danny Neftin, Howard Nuer
  • Location: Technion, Amado Building, Room 814
Abstract:

Equidistribution of "special" points is a theme of both analytic and geometric interest in number theory: in this talk I plan to deal with the case of CM points on Shimura curves. The first part will be devoted to a geometric description of the aforementioned curves and of their moduli interpretation. Subsequently, I plan to sketch an equidistribution result of reduction of CM points in the special fiber of a Shimura curve associated to a ramified quaternion algebra. Time permitting, I will mention how Ratner's theorem and subconvexity bounds on Fourier coefficients of certain theta series can be used to obtain two different equidistribution results.

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