**Date & Time:** Wednesday, Jan 12, 2010 at 5.00 pm

**Venue:** Ramanujan Hall

**Title:** The Hodge Conjecture: a possible approach via non-linear PDE

**Speaker:** Prof. T. R. Ramadas

ICTP, Trieste, Italy

**Abstract:**
I give a gentle introduction to the Hodge conjecture, and
describe a particular class of examples (due to Mumford) where it can be
investigated. The examples have to do with abelian varieties
(four-dimensional complex tori with projective embeddings) which arise
from certain number fields. I describe an attack using certain nonlinear
PDE inspired by physics ("Spin(7) instantons").