Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Professor Dr. Christopher Marks
California State University, Chico

 
spricht am
 
Dienstag, 18. Juli 2017
 
um
 
17:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Vector-valued modular forms and the bounded denominator conjecture«

Abstract:
Although modular forms have played a central role in number theory for a very long time, the use of representation theory of the modular group as a tool for studying the arithmetic of these functions is a much more recent development. In the first part of this talk, I will give a brief introduction to both scalar (i.e. classical) and vector-valued modular forms, and then I will give some indication of how representations of the modular group yield arithmetic information about the Fourier coefficients of vector-valued modular forms. In particular, I will describe the so-called bounded denominator conjecture for modular forms, and (time permitting) I will explain how Fuchsian differential equations have been used to verify this conjecture in the low dimension setting.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Maxim Smirnov
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



wwwadm@Math.Uni-Augsburg.DE,    Do 6-Jul-2017 23:14:47 MESZ