Automorphic Forms on Unitary Groups

Abstract

This manuscript provides a more detailed treatment of the material from my lecture series at the 2022 Arizona Winter School on Automorphic Forms Beyond $G{L}_2$. The main focus of this manuscript is automorphic forms on unitary groups, with a view toward algebraicity results. I also discuss related aspects of automorphic $L$-functions in the setting of unitary groups.

arXiv commentA more detailed treatment of the material from my lecture series at the 2022 Arizona Winter School

References in corpus (11)

• The fundamental lemma of Jacquet-Rallis in positive characteristics
• p-adic L-functions for unitary groups
• p-adic Eisenstein series and L-functions of certain cusp forms on definite unitary groups
• Period relations for automorphic forms on unitary groups and critical values of $L$-functions
• Explicit calculations of automorphic forms for definite unitary groups
• p-adic q-expansion principles on unitary Shimura varieties
• Galois equivariance of critical values of $L$-functions for unitary groups
• Entire theta operators at unramified primes
• Archimedean zeta integrals on U(2,1)
• Archimedean Zeta Integrals for Unitary Groups
• An introduction to Eisenstein measures