School of Mathematics Seminars and Lectures

Admissible normal functions

by Prof. Patrick Brosnan (University of British Columbia, Canada)

Wednesday, August 4, 2010 from to (Asia/Kolkata)
at Colaba Campus ( Maths.Seminar Room A-369 )
Description
Normal functions are certain transcendental objects introduced by Poincare in a 1910 paper and later used by Lefschetz to prove the Hodge conjecture for algebraic surfaces, i.e., the Lefschetz(1.1) theorem. The key to Lefschetz's proof, whichis already present in Poincare's work, is that the normal  functions that arise from Hodge classes on algebraic surfaces are essentially algebraic objects.  ........contd....... I will discuss normal functions ending with a recent theorem coming from joint work with G.Pearlstein (also obtained independently by C. Schnell) showing that the zero locus of an admissible normal function is algebraic.
Organised by Aravindakshan T