DATE: Thursday, March 10, 2005 TIME: 2:10 pm in Weber 117 SPEAKER: Ralf Schmidt, University of Oklahoma TITLE: Local Newforms for GSp(4) ABSTRACT: This talk is about a joint project with Brooks Roberts (University of Idaho) on the p-adic representation theory of the group GSp(4). We shall present a complete theory of local old- and newforms analogous to the existing theory for the group GL(2). One of the applications of the GL(2) theory is to establish a precise relationship between classical elliptic modular forms and automorphic representations of GL(2), thereby "embedding" the classical theory into the Langlands program. Similarly, our theory provides a link between classical Siegel modular forms and automorphic representations of GSp(4).