University of Arizona
When
2 – 3 p.m., April 22, 2025
Where
Title: An explicit construction of vector-valued automorphic forms on unitary groups
Abstract: In order to study automorphic forms on general groups, one must work with not only scalar-valued forms but also vector-valued forms. One of major challenges for studying vector-valued forms is lack of explicit examples to work with. In this talk, we describe a method for constructing vector-valued automorphic forms on unitary groups from scalar-valued ones, inspired by the work of Clery and van der Geer for Siegel modular forms. This is joint work with T. Browning, P. Coupek, E. Eischen, C. Freschette, S. Y. Lee, and D. Marcil, which began as a project from the 2022 Arizona Winter School.