Arithmetic Study Group: Spectacle cycles and modular forms
3 November 2009 15:15 in CM219
Modular symbols are geodesics (both, closed or infinite) in a non-compact quotient X of the Poincare upper half plane by a subgroup of SL_2(Z). The systematic study of modular symbols was initiated by Manin who in particular showed that they span the first (relative) homology of X.
In this talk we extend the Shintani lift from cusp forms to arbitrary modular forms. In particular, we use a (co)homological approach.
This is joint work with John Millson.