Mathematics
Brandeis-Harvard-MIT-Northeastern Joint Colloquium: Polynomials of bounded degree

Speaker: Steven Sam (UCSD)

Abstract: Ananyan and Hochster proved the existence of “small subalgebras” for collections of polynomials with a priori bounded degrees. Roughly speaking, this means that arbitrary polynomials can be written as polynomial expressions of a fixed number of more basic polynomials with good properties. I’ll discuss some motivations for this coming from finding uniform bounds for numerical invariants of ideals and discuss ideas (ultraproducts, GL-noetherianity) related to new proofs of their result.

https://northeastern.zoom.us/j/97729122924?pwd=WDF6S2pYY2o0eGhSYTlwSFpTbTlOZz09

Brandeis-Harvard-MIT-Northeastern Joint Colloquium: Polynomials of bounded degree