Speaker: Jie Lin (IHES)
Title: On special values of automorphic L-functions
Abstract: It is well-known that the value of the Riemann zeta function at a positive even integer is a power of 2\pi i multiplied by a rational number. More generally, Deligne conjectured that certain special values of motivic L-functions can be written as products of motivic periods and precise powers of 2\pi i. Similar results have been proved for automorphic L-functions up to some extra archimedean factors. It seems very difficult to calculate these factors directly. In this talk, we will explain a simple method to determine these archimedean factors as precise powers of 2\pi i. This is a joint work with Harald Grobner.