When: Thursday at 11am-12pm (Pacific Time) + 30 min for exercises and discussion.
Where: Online! Email me or Foster Tom for zoom info.
Topic: Combinatorics of the Shuffle conjecture, q-t Catalan numbers, and the space of diagonal harmonics.
Reading:
During September and October we will be following The q,t-Catalan Numbers and the Space of Diagonal Harmonics, by Jim Haglund available online HERE. Additional resources can be found in Haiman's expository papers HERE and HERE.
During November we will be going over the proof of Shuffle conjecture by Carlsson and Mellit from their article HERE.
Below is an approximate schedule of the sections we plan to cover. I will try to keep the sections actually covered up to date.
Date Sections Speaker Notes
Sep 3 2.1, 2.2 Nicolle Gonzalez (UCLA) HERE
Sep 10 2.3, 2.4 Nicolle Gonzalez HERE
Sep 17 2.5 Nicolle Gonzalez HERE
Sep 24 3.1, 3.2 Foster Tom (UC Berkeley) HERE
Oct 1 3.2, 3.4 Foster Tom HERE
Oct 8 4.4, 5.1 Aram Dermenjian (York U.) HERE
Oct 15 5.1, 5.2 Aram Dermenjian (York U.) HERE
Oct 22 6.1, 6.2 Jianping Pan (UC Davis) HERE
Oct 29 6.3, 6.4 Pranav Trivedi (UC Berkeley) HERE
Nov 5 Shuffle Proof Nicolle Gonzalez HERE + Video
Nov 12 Shuffle Proof Nicolle Gonzalez HERE + Video
Nov 19 Shuffle Proof Nicolle Gonzalez HERE + Video
Nov 26 Thanksgiving ----------------
Dec 3 Shuffle Proof Nicolle Gonzalez HERE + Video
Dec 10 LLT Polynomials Foster Tom
Dec 17 LLT Polynomials Foster Tom