### Orlik-Terao algebras and internal zonotopal algebras

- Series
- Algebra Seminar
- Time
- Monday, September 16, 2024 - 11:30 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Colin Crowley – University of Oregon

There will be a pre-seminar at 10:50am in Skiles 005.

In 2017 Moseley, Proudfoot, and Young conjectured that the reduced Orlik-Terao algebra of the braid matroid was isomorphic as a symmetric group representation to the cohomology of a certain configuration space. This was proved by Pagaria in 2022. We generalize Pagaria's result from the braid arrangement to arbitrary hyperplane arrangements and recover a new proof in the case of the braid arrangement. Along the way, we give formulas for several other invariants of a hyperplane arrangement. Joint with Nick Proudfoot.