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Title: Recursions and Proofs in Coxeter-Catalan combinatorics

Speaker: Theo Douvropoulos Affiliations: U Mass Amherst Location: MC 5479 or contact Olya Mandelshtam for Zoom link

Abstract:  The collection of parking functions under a natural Sn-action (which has Catalan-many orbits) has been a central object in Algebraic Combinatorics since the work of Haiman more than 30 years ago. One of the lines of research spawned around it was towards defining and studying analogous objects for real and complex reflection groups W; the main candidates are known as the W-non-nesting and W-non-crossing parking functions.