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:

1. The q,t-Catalan Numbers and the Space of Diagonal Harmonics, by Jim Haglund available online HERE.

2. A proof of the shuffle conjecture by Erik Carlsson and Anton Mellit available here HERE with supplementary notes by Jim Haglund and Guoce Xin available HERE.

Schedule

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.