Combinatorial commutative algebra rules

Series
Algebra Seminar
Time
Monday, October 16, 2023 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Ada Stelzer – University of Illinois Urbana-Champaign – astelzer@illinois.edu
Organizer
Changxin Ding

Please Note: There will be a pre-seminar (aimed toward grad students and postdocs) from 11:00 am-11:30 am in Skiles 006.

We present an algorithm that generates sets of size equal to the degree of a given projective variety. The steps of this "CCAR" algorithm are individually well-known, but we argue that when combined they form a versatile and under-used method for studying problems in computational algebraic geometry. The latter part of the talk will focus on applying the CCAR algorithm to examples from Schubert calculus.