Macdonald polynomial operators and coinvariant rings

Thursday, February 22, 2018 - 12:00
427 Thackeray Hall
Speaker Information
James Haglund
University of Pennsylvania

Abstract or Additional Information

We discuss some of the combinatorics and algebra associated with the "Delta Conjecture" of Remmel, Wilson, and the speaker. The conjecture invovles certain operators on Macdonald symmetric functions which Haiman has shown give characters of symmetric group modules, and are connected to the study of coinvariant rings. Statistics on lattice paths and parking functions arise in the associated combinatorics.

Research Area