A filtered basis for Haiman ideals
Speaker: Josh Turner
Date: Wed, Oct 14, 2026
Location: PIMS, University of British Columbia, Online, Zoom
Conference: Emergent Research: The PIMS Postdoctoral Fellow Seminar
Subject: Mathematics
Class: Scientific
Date: Wed, Oct 14, 2026
Location: PIMS, University of British Columbia, Online, Zoom
Conference: Emergent Research: The PIMS Postdoctoral Fellow Seminar
Subject: Mathematics
Class: Scientific
Abstract:
We will talk about the ideal $J$ generated by antisymmetric polynomials in two sets of variables and its powers, and discuss how these Haiman ideals are connected to link homology, geometry, and other combinatorial objects of interest. We will then show how to reinterpret recursions for computing link homology into a method for constructing a free, filtered basis for $J^d$ over $C[y]$.
