p-adic spin L-functions for GSp_6Algebra & Discrete Mathematics
|Speaker:||Ellen Eischen, University of Oregon|
|Start time:||Thu, Apr 15 2021, 10:00AM|
In the middle of the nineteenth century, Kummer observed striking congruences between certain values of the Riemann zeta function, which have important consequences in algebraic number theory, in particular for unique factorization in certain rings. In spite of its potential, this topic lay mostly dormant for nearly a century until breakthroughs by Iwasawa in the middle of the twentieth century. Since then, advances in arithmetic geometry and number theory (in particular, for modular forms, certain analytic functions that play a central role in number theory) have revealed similarly consequential congruences in the context of other arithmetic data. I will discuss related joint work in progress with G. Rosso and S. Shah concerning p-adic spin L-functions of ordinary cuspidal automorphic representations of GSp_6 associated to Siegel modular forms.