#### 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).

Done