Thursday, April 22
Milner 216, 1:00 PM
Title: Rankin-Cohen brackets for modular forms, Jacobi forms, and Siegel modular forms
Abstract: The Rankin-Cohen bracket is a bilinear differential operator that assigns to two modular forms a new modular form. For each v, the "v-th bracket" sends forms of weight k and l to a form of weight k+l+2v. I will discuss the construction of the Rankin-Cohen bracket and furthermore, I will report on joint work with Imamoglu on Rankin-Cohen brackets for Siegel modular forms. This talk will include basic definitions: no prior knowledge of modular forms, Jacobi forms, or Siegel modular forms is required.