10/26/2005

Ramin Takloo-Bighash
Princeton University

Distribution of rational points on equivariant compactifications of semi-simple groups

In this talk, I will explain a new result on the distribution of rational points of bounded height on "wonderful" compactifications of semi-simple groups of adjoint type. A special case of the result is the conjecture of Manin on the distribution of rational points with bounded anti-canonical height for this class of varieties. This is joint work with Joseph A. Shalika and Yuri Tschinkel.