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 )
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. |