Some natural extensions of the parking space

Seminar
Speaker
Matjaž Konvalinka (University of Ljubljana)
Date
21/11/2021 - 15:30 - 14:00Add to Calendar 2021-11-21 14:00:00 2021-11-21 15:30:00 Some natural extensions of the parking space We will construct a family of S_n modules with the property that upon restriction to S_{n-1} they recover the classical parking function representation of Haiman. The representation is conjecturally isomorphic to a construction from Berget--Rhoades. We will also mention some (conjectured) connections with Donaldson--Thomas invariants of the m-loop quiver. zoom אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
zoom
Abstract

We will construct a family of S_n modules with the property
that upon restriction to S_{n-1} they recover the classical parking
function representation of Haiman. The representation is conjecturally
isomorphic to a construction from Berget--Rhoades. We will also
mention some (conjectured) connections with Donaldson--Thomas
invariants of the m-loop quiver.

Last Updated Date : 17/11/2021