Computer Science/Discrete Mathematics Seminar I

Relative Rank and Regularity

The notion of Schmidt rank/strength for a collection of m polynomials plays an important role in additive combinatorics, number theory and commutative algebra; high rank collections of polynomials are “psuedorandom”.  An arbitrary collection of polynomials is not necessarily of high rank, but via a regularity procedure is contained in an ideal generated by a huge (depending on m) high rank collection of polynomials. We describe a refined notion of rank/strength that allows for a new regularization procedure with polynomial dependence on m, while maintaining the psuedorandomess properties.

Joint work with A. Lampert.

 

Date & Time

October 03, 2022 | 11:15am – 12:15pm

Location

Simonyi 101 and Remote Access

Speakers

Speaker Affiliation

Hebrew University; Distinguished Visiting Professor, School of Mathematics