Speaker
Dr
Sabino Di Trani
(Sapienza Università di Roma))
Description
GKM theory provides a powerful tool to describe the (equivariant) cohomology of certain T-varieties, where T is an algebraic torus. In particular, the cohomology of such varieties can be determined by studying the combinatorics of a graph—the moment graph—constructed from the geometry of the 0- and 1-dimensional T-orbits. In the first part of the talk, we will recall the main results of GKM theory through a number of examples. Afterwards, we will show how the combinatorics of the moment graph can be applied to investigate geometric properties of certain quiver Grassmannians for equioriented quivers of type A.
Primary author
Dr
Sabino Di Trani
(Sapienza Università di Roma))