Organizers: Sylvie Corteel, Mitsuki Hanada, and John Lentfer.
References:
Superspace coinvariants and hyperplane arrangements (Angarone, Commins, Karn, Murai, Rhoades), this is the main paper we will be starting with;
The Hilbert series of the superspace coinvariant ring (Rhoades and Wilson), this covers the reduction;
q-Stirling numbers in type B (Sagan and Swanson), this covers some of the combinatorics and conjectures;
A proof of the Fields conjectures (Murai, Rhoades, Wilson), this is the follow-up to Angarone et al. and will be our second paper we cover.
The schedule is subject to change as we may need more than one week to cover a listed topic.
| Date | Speaker | Topic | Notes |
|---|---|---|---|
| 1/30 | John Lentfer | Background on coinvariant algebras | |
| 2/6 | John Lentfer | Background on coinvariant algebras | |
| 2/13 | Mitsuki Hanada | Outline of Angarone et al. | |
| 2/20 | Yuhan Jiang | The reduction of Rhoades--Wilson | |
| 2/27 | Swapnil Garg | Introduction to hyperplane arrangements and Soloman--Terao algebras | |
| 3/6 | Patty Commins | Hyperplane arrangements in Angarone et al. | |
| 3/13 | Patty Commins | Hyperplane arrangements in Angarone et al. | |
| 3/20 | John Lentfer | Outline of Murai, Rhoades, Wilson | First 20 minutes will be Patty finishing her talk. |
| 3/27 | No seminar - Spring break | ||
| 4/3 | John Lentfer | Outline of Murai, Rhoades, Wilson | |
| 4/10 | No seminar | ||
| 4/17 | Ibrahim Ahmad | Superspace coinvariant rings and the Springer resolution | |
| 4/24 | Patty Commins | Quasisymmetric coinvariants and Catalan numbers |