The twisted gamma filtration

Presenter: Caroline Junkins


Supervisor(s): Kirill Zainoulline

Institution: University of Ottawa

For the Grothendieck group of a split simple linear algebraic group, the twisted gamma filtration provides a useful tool for constructing torsion elements in gamma-rings of twisted flag varieties. In this project, we construct a non-trivial torsion element in the gamma-ring of a complete flag variety twisted by means of a PGO-torsor. This generalizes the construction in the HSpin case previously obtained by Zainoulline.