Date/Time
Date(s) - 21/09/2023
9:30 am - 10:30 am

Location: HH207

Speaker: Ada Stelzer (University of Illinois Urbana-Champaign)  

Title: Oops, all Hilbert! Hilbert functions, h-polynomials, and the Hilbertian property

 Abstract: Many fundamental properties of projective varieties are encoded by their Hilbert functions, which record dimensions of the graded pieces of their coordinate rings. A variety is called Hilbertian if its Hilbert function is a polynomial. We will introduce these notions from the ground up before explaining the ubiquity of Hilbertian varieties in combinatorial commutative algebra via Stanley-Reisner theory. If time permits we will also discuss possible generalizations of these ideas to the multigraded setting..