Event Detail

Event Type: 
Number Theory Seminar
Date/Time: 
Tuesday, January 22, 2019 - 16:00 to 16:45
Location: 
STAG 160

Speaker Info

Institution: 
Reed College
Abstract: 

The paramodular conjecture pairs abelian surfaces and paramodular forms,
the 2-dimensional counterparts of the elliptic curves and elliptic modular
forms that correspond in the modularity theorem. As with modularity, the
level of the form matches the conductor of the surface. The paramodular
correspondence is now established for some particular levels, including
the nonprime level 731, where a computational result was required to
complete the analytic argument. This talk will be a quick overview of
paramodular forms, of some algorithms used to compute them, and of the
computations that were carried out at level 731.