The strength of polynomials [1]

Link webex  [2]

Abstract: 

The notion of strength of a homogeneous polynomial has recently 

appeared in the groundbreaking work of Ananyan and Hochster 

to resolve Stillman’s conjecture. Since then, it has been extensively investigated. 

In this talk, I will first indicate how to determine the strength 

of a generic polynomial. 

Secondly, using the theory of polynomial functors developed

by Bik-Draisma-Eggermont-Snowden, I will show how to see 

that bounded strength is not a Zariski-closed condition. 

These two results are joint works with Ballico, Bik and Oneto.