Thursday, October 7
Milner 216, 1:00 PM
Title: The Borcherds-Zagier isomorphism and a p-adic version of the Kohnen-Shimura map
Abstract: The isomorphism between certain groups of meromorphic modular forms of even integral and half-integral weights was discovered by Borcherds. Shortly afterwords an explicit construction of the Borcherds isomorphism was found by Zagier. Kohnen-Shimura map connects spaces of holomorphic modular forms of half-integral and even integral weights. These two maps have a lot of similarities; the question about a link between them is natural and actually appears in the original paper of Borcherds. In this talk I will address this question and establish such a link in the framework of the Serre's p-adic theory of modular forms.