- Series
- Algebra Seminar
- Time
- Monday, February 19, 2024 - 1:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Anastasia Nathanson – University of Minnesota
- Organizer
- Changxin Ding
Please Note: There will be a pre-seminar (aimed toward grad students and postdocs) from 11:00 am to 11:30 am in Skiles 005.
Given a matroid and a group of its matroid automorphisms, we study the induced group action on the Chow ring of the matroid. This turns out to always be a permutation action. Work of Adiprasito, Huh and Katz showed that the Chow ring satisfies Poincar\'e duality andthe Hard Lefschetz theorem. We lift these to statements about this permutation action, and suggest further conjectures in this vein.