Geometry MMA Seminar: The product structure of the equivariant cohomology rings of Peterson varieties in all Lie types

Speaker: Brent Gorbutt, GMU

Title:   The product structure of the equivariant cohomology rings of Peterson varieties in all Lie types

Abstract:  Schubert calculus on Peterson varieties in Lie type A is very well understood.  Given two sufficiently ``simple’’ ring generator classes of the equivariant cohomology, there is a nice formula that computes the structure constants in their product.  Any cohomology class is expressible as a product of these ``simple’’ generator classes, and so one can express the product of any two cohomology classes as a linear combination of generator classes.  This talk will discuss the relevant background information and the combinatorial tools used to find this formula in type A as well as the corresponding details for other Lie types.  Finding explicit formulas for Lie types B-G is the goal of a proposed MEGL project in the fall of 2023.

Time:  Monday, April 17 – 10:30am-11:30am

Place:  Exploratory Hall, Room 4106