Triangle groups: From Hilbert modular varieties to complex dynamics
Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory March 03, 2025 - March 07, 2025
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Triangle groups: From Hilbert modular varieties to complex dynamics
We will discuss the reflection groups associated to hyperbolic triangles from a variety of perspectives: the arithmetic of
their cusps; totally geodesic curves on Hilbert modular surfaces; and Minkowski's question mark function. The latter
arises when triangle groups are mated with polynomials, to produce fractals and dynamical systems on the Riemann sphere.
Triangle groups: From Hilbert modular varieties to complex dynamics
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