Event Detail

Event Type: 
Number Theory Seminar
Date/Time: 
Tuesday, November 2, 2021 - 10:00 to 10:50
Location: 
ALS 0006

Speaker Info

Institution: 
Fordham University
Abstract: 

There are some well-known congruences between dimensions of spaces of modular forms and class numbers of imaginary quadratic fields. In this talk, we will first discuss some new congruences between dimensions of Siegel cusp forms of degree 2 and class numbers of imaginary quadratic fields. Then we will derive some congruences between the 4-core partition function and dimensions of spaces of Siegel cusp forms of degree 2. The main results depend on the relationship between Siegel cusp forms of degree 2 and cuspidal automorphic representations of GSp(4).