#### Hall 123

#### Maps between Grassmann manifolds

#### Shreedevi Masuti

##### IMSc

*Studying homotopy classes of maps between complex Grassmann manifolds is of great interest in Topology. We get useful informations about these from the set of homomorphisms between cohomology algebras with rational-coefficients, using rational homotopy theory. In this talk, we will discuss the possible graded algebra homomorphisms from $H^*(G_{n,k};\mathbb Q)$ to $H^*(G_{n,l};\mathbb Q)$, for $k *

eq l,$ where $G_{n,k}$ is the the complex Grassmann manifold of $k$-dimensional vector subspaces of $\mathbb C^n$ and $H^*(G_{n,k};\mathbb Q)$ is the cohomology algebra of $G_{n,k}$ with $\mathbb Q$-coefficients. This is my joint work with Prateep Chakraborty.

Done