Alladi Ramakrishnan Hall

Cohomology of uniform lattices in SO^*(2n)

Arghya Mondal

IMSc

A method for
showing that a Betti number of a locally symmetric space is non-zero, is to
construct a submanifold which represents a non-zero homology class of that
dimension. This idea goes back to Millson and Raghunathan and was used by
others to prove results involving non-vanishing of Betti numbers for locally
symmetric spaces corresponding to several simple Lie groups like SO(p,q),
SU(p,q), SP(p,q), SU*(2n) etc. In this talk we will describe how the same
program can be carried out for locally symmetric spaces associated to the
simple Lie group SO*(2n).