20 maj, kl 13.15-14.15, KTH, sal 3721.

Jay Jorgenson (City College of New York, CUNY): Relating Maass forms to holomorphic one forms

Abstract. In the setting of general finite volume hyperbolic Riemann surfaces, my recent work with Jurg Kramer begins with an identity which relates holomorphic one forms and non-holomorphic weight zero forms. In this talk I will discuss applications of this identity in two directions: The study of analytic invariants associated to Arakelov theory of algebraic curves, and the study of L-functions.