- Series
- Algebra Seminar
- Time
- Monday, November 6, 2023 - 1:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Gregory G. Smith – Queen's University – ggsmith@mast.queensu.ca
- Organizer
- Changxin Ding
Please Note: There will be a pre-seminar (aimed toward grad students and postdocs) from 11 am to 11:30 am in Skiles 006.
How do we effectively verify that a polynomial function is nonnegative? One may certify nonnegativity by exhibiting a nonnegative multiplier such that the product is a sum of squares. We will survey a few known results before focusing on some new degree bounds on multipliers. Unexpectedly, our novel techniques are particularly well-suited to ruled surfaces. This talk is based on joint work with Grigoriy Blekherman, Rainer Sinn, and Mauricio Velasco.