I demonstrate how certain identities for Macdonald's polynomials established by Garsia, Haiman and Tesler, together with the conjecture of Hausel, Letellier and Villegas give explicit formulas and relations for mixed Hodge structures of character varieties. In particular, I will prove a recent conjecture by Hausel, Mereb and Wong, which appeared in their work on counting points on wild character varieties.
CAGE: Philadelphia Area Combinatorics and Alg. Geometry Seminar
Thursday, March 3, 2016 - 3:00pm
Anton Mellit
International Center for Theoretical Physics (ICTP)