Spectral constructions of elliptic-type Eisenstein series and automorphic forms (The City College of New York, CUNY)

06.12.2022 10:30

We will describe results in which we use analytic techniques from spectral theory to construct non-holomorphic Eisenstein series, determine their Kronecker limit functions, and identity such functions as log-norms of holomorphic modular forms. When the underlying space is complex projective space, we further develop a means by which one can evaluate certain Mahler measures as convergent series. In addition, we provide an analytic perspective of Weil's reciprocity and prove a generalization.
The research is joint with James Cogdell and Lejla Smajlovic.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Tuesday 06.12.2022, Séminaire Groupes et géométrie

entrée libre