This is a colloquium-style seminar. It runs on Wednesdays. The current organizers are Melkana Brakalova and Han-Bom Moon.
The seminar is broadcasted via zoom. Check the announcement emails for the link.
Date: October 1, 3:00 pm
Place: JMH 405 (RH)
Speaker: Ara Basmajian (CUNY)
Title: Counting problems, Hecke groups, and hyperbolic geometry
Abstract: The modular group is the group generated by the Mobius elements $z \mapsto \frac{-1}{z}$ and $z \mapsto z+1$ acting on the upper half-plane. These elements act as isometries with respect to the hyperbolic metric on the upper half-plane, and as a result this group, and its cousins the Hecke groups, is rich with interesting geometric, number theoretic and combinatorial questions.
In this talk we'll introduce hyperbolic geometry and the properties of the Hecke groups leading to various counting problems. The solutions of these counting problems involve using recursion relations, finding roots of polynomials, and elementary notions from linear algebra.
Date: October 22, 3:00 pm
Place: JMH 405 (RH)
Speaker: Anders Buch (Rutgers)
Title: TBA
Date: October 29, 3:00 pm
Place: TBA (LC)
Speaker: Alvaro Lozano-Robledo (University of Connecticut)
Title: TBA
Date: November 12, 3:00 pm
Place: JMH 405 (RH)
Speaker: Shree Rajkumar Saha (CUNY)
Title: TBA
Date: December 3, 3:00 pm
Place: JMH 405 (RH)
Speaker: Enrique Pujas (CUNY)
Title: TBA