## The Steinberg symbol and special values of L-functions

- Date: 03/13/2008

Lecturer(s):

Cecilia Busuioc (Boston University)

Location:

Simon Fraser University

Topic:

In this talk, we will describe a construction of Eisenstein classes in the parabolic cohomology of Γ0(*M*) with values in Milnor's *K*2-group of the ring of *S*-integers of the cyclotomic extension **Q**(*μM*). In the case where *p* is an irregular prime, we will explain a congruence between certain projections of Steinberg symbols of *p*-units and *L*-values of level-1 cusp forms congruent to an Eisenstein series mod *p*, a result that was predicted by a conjecture of R. Sharifi.

Other Information:

Number Theory Seminar