**Date & Time:** Wednesday, January 25, 2012, 15:00-16:00.

**Venue:** Ramanujan Hall

**Title:**WEYL'S SUMS FOR ROOTS OF QUADRATIC CONGRUENCES

**Speaker:**Prof. Henryk Iwaniec (Rutgers)

**Abstract:**
I will highlight results and ideas of proof in a recent joint work
with W. Duke and J. Friedlander concerning the distribution of zeros of
quadratic congruences in various domains. The key feature of results is the
uniformity of asymptotic formulas with respect to the discriminant, which is
accomplished by means of spectral theory of metaplectic automorphic forms.
Due to this great uniformity there are numerous applications which will be
presented in the talk.