School of Mathematics Colloquium

Counting points of homogeneous varieties over finite fields

by Prof. Michel Brion (Institute Fourier, France)

Thursday, February 2, 2012 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
Description
Given a system of polynomial equations with integer
coefficients, one may first reduce it modulo any prime p, and then
count the solutions over the prime field F_p and larger finite fields.
The talk will present some remarkable properties of the resulting
counting function, first for general systems and then for those where
the complex solutions form a unique orbit under the action of some
algebraic group.