MATH Seminar

Title: Triangular modular curves
Seminar: Algebra
Speaker: Juanita Duque-Rosero of Boston University
Contact: Andrew Kobin, ajkobin@emory.edu
Date: 2024-03-26 at 4:00PM
Venue: MSC W301
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Abstract:
Triangular modular curves are a generalization of modular curves and arise from quotients of the upper half-plane by congruence subgroups of hyperbolic triangle groups. These curves naturally parameterize hypergeometric abelian varieties, making them interesting arithmetic objects. In this talk we focus on the Borel-kind prime level triangular modular curves. We show that there are finitely many such curves of any given genus and present an algorithm to enumerate these curves. This is joint work with John Voight.

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