Universität Augsburg

Christopher Marks
California State University, Chico
spricht am
Donnerstag, 20. Juli 2017
um
10:00 Uhr
im
Raum 3008 (L1)
über das Thema:
Abstract: 
Periods of modular curves, the compact Riemann surfaces associated to the action of finite index subgroups of PSL_{2}(Z) on the complex upper halfplane, have been an object of study for quite some time. When the subgroup of interest is congruence, the method developed by Manin involving modular symbols and Hecke operators has been the standard for computing these periods. This method breaks down, however, when the subgroup under consideration is noncongruence, as the action of the associated space of Hecke operators is essentially trivial in this setting. In this talk, I will explain how one may obviate the use of Hecke operators by employing vectorvalued modular forms, and then I will work out examples of this method on a number of modular curves of low genus. 
Hierzu ergeht herzliche Einladung. 
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).