Fundamental Groups in Arithmetic and Algebraic Geometry
timetable:
Thu 19 Dec, 11:15 - 12:15, Aula Dini
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Growth of the genus of abstract modular curves 'with level l structure' in positive characteristic
speaker: Anna Cadoret (Institut de Mathématiques de Jussieu-Paris Rive Gauche)abstract: To any bounded family of \bar{\F}l-linear representations of the etale fundamental of a curve X one can associate families of abstract modular curves which, in this setting, generalize - from a moduli point of view - the `classical' modular curves with level l structure. Under mild hypotheses, it is expected that the genus (and even the geometric gonality) of these curves goes to infty with l. I will present an overview of the results about the genus (especially in positive char, where the situation is more difficult to handle) and, if time allows, give some hints about the proofs. (partly joint with Akio Tamagawa)
timetable:
Thu 19 Dec, 11:15 - 12:15, Aula Dini
<< Go back