Geometry of Hecke groups and continued fractions
Thursday, 17 November, 2022 - 17:00
In this talk we will introduce a family of groups called Hecke groups that generalize the modular group SL(2,Z). Named after Erich Hecke, These groups are at the crossroad between hyperbolic (and flat) geometry, number theory, and dynamics. We will explain the interaction between these aspects while asking the (open) question of determining the elements of the boundary at infinity of the hyperbolic plane that represent the cusp of the quotient surface.
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