Torsion in intersection cohomology of Schubert varieties

Mardi 2 juin 2015 16:00-17:00 - Geordie Williamson - Max Planck Institut für Mathematik

Résumé : It is an interesting and difficult problem to determine what torsion can occur in the local integral intersection cohomology of Schubert varieties. This has connections to modular representation theory (Lusztig conjecture, James conjecture), singularity theory, and D-module theory (reducibility of characteristic cycles). I will describe a general procedure for producing many new examples of torsion, which implies that the torsion grows at least exponentially in the rank. This is an overview based on work partly joint with Elias, He, Kontorovich and McNamara.

Lieu : bât. 425 - 113-115

Torsion in intersection cohomology of Schubert varieties  Version PDF