BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Juanita Duque Rosero (Boston University) DTSTART:20251023T190000Z DTEND:20251023T200000Z DTSTAMP:20260423T021323Z UID:ANTS/18 DESCRIPTION:Title: Tr iangular modular curves\nby Juanita Duque Rosero (Boston University) a s part of Calgary Algebra and Number Theory Seminar\n\nLecture held in MS 337.\n\nAbstract\nTriangular modular curves are a generalization of modula r curves and arise as quotients of the complex upper half-plane by congrue nce subgroups of hyperbolic triangle groups. These curves naturally parame terize hypergeometric abelian varieties\, making them interesting arithmet ic objects. In this talk\, we will focus on the Borel-kind triangular modu lar curves. We will show that when restricting to prime level\, there are finitely many such curves of any given genus\, and there is an algorithm t o enumerate them. Time permitting\, we will explore generalizations to com posite level. This is joint work with John Voight.\n LOCATION:https://researchseminars.org/talk/ANTS/18/ END:VEVENT END:VCALENDAR