Patrick Brosnan

Abstract: Recently, V. Chernousov, S. Gille and A. Merkurjev have obtained a decomposition of the motive of an isotropic projective homogeneous variety analogous to the Bruhat decomposition. Using the torus method of A. Bialynicki-Birula and a corollary, which is essentially due to S. del Bano, I generalize this decomposition to the case of a (possibly anisotropic) projective variety homogeneous under the action of an isotropic reductive group. I will discuss the decomposition and some of the reflection group combinatorics entering in its explicit form.   

Here are some directions to Northeastern University. Lake Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street.