UNIVERSITY OF IDAHO

DEPARTMENT OF MATHEMATICS

COLLOQUIUM

 


Fall 2017

Thursday,  September 14, 3:30-4:20 pm, room TLC 223

Refreshments in Brink 305 at 3:00 pm


Towards a generalization of Eichler-Shimura
 

Jennifer Johnson-Leung



Department of Mathematics

University of Idaho



Given a classical modular form which is also a Hecke eigenform, one can use the theory of Eichler and Shimura to construct an elliptic curve so that the L-functions of the curve and the modular form agree.  I will explain this construction and the difficulties one encounters when considering a similar construction of abelian surfaces from Siegel paramodular forms.  I will then outline a new research project which is aimed at overcoming these difficulties.