Title:ÌýSpringer fibers and the Delta Conjecture at t=0
| Speaker: | Sean Griffin |
| Affiliation: | UC Davis |
| Zoom: | Please email Olya Mandelshtam |
Abstract:
Springer fibers are a family of varieties that have remarkable connections to combinatorics and representation theory. Springer used them to geometrically construct all of theÌýirreducible representations of the symmetric group (Specht modules). Moreover, they give a geometricÌýmeaning to Hall-Littlewood symmetric functions. In this talk, I will introduce a generalization of Springer fibers calledÌý$\Delta$-Springer varieties, a special case of which gives a new geometric meaning to the expression in the Delta Conjecture at t=0. We’ll then use these varieties to geometrically construct induced versions of the Specht modules. This is joint work with Jake Levinson and Alexander Woo.