### Multigraded Stillman Conjecture

- Series
- Algebra Seminar
- Time
- Monday, November 4, 2024 - 11:30 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- John Cobb – Auburn University

There will be a pre-seminar at 10:55 am in Skiles 005.

In 2000, Mike Stillman conjectured that the projective dimension of a homogeneous ideal in a standard graded polynomial ring can be bounded just in terms of the number and degrees of its generators. I’ll describe the Ananyan-Hochster principle important to its proof, how to package this up using ultraproducts, and use this to give a characterization of the polynomial rings graded by any abelian group that possess a Stillman bound.