Colloquium abstracts

Vinayak Vatsal
University of British Columbia, Canada
January 15, 2015

Conjectures on non-vanishing of quadratic twists of $L$-functions modulo a prime:  This will be a description of precise conjectures (due mostly to K. Prasanna) about the $p$-adic valuation of quadratic twisted $L$-functions at the centre of the critical strip, and an approach we propose to prove them, based on work of Wei Zhang.