Geometry MMA Seminar: The product structure of the equivariant cohomology rings of Peterson varieties in all Lie types
Apr 17, 2023, 10:30 - 11:30 AM
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