Maya Banks (University of Illinois Chicago)
Date
Monday March 17, 20254:30 pm - 5:30 pm
Location
116 JEFFERY HALLMath & Stats Algebra & Geometry Seminar
Monday, March 17, 2025
Time: 4:30 p.m. Place: Jeffery Hall, Room 116
Speaker: Maya Banks (University of Illinois Chicago)
Title: Minimal Degree Curves and Scrolls in Weighted Projective Space
Abstract: A nondegenerate variety in projective space satisfies the condition that its degree is bounded below by 1 more than its codimension. Varieties attaining this lower bound—so-called "varieties of minimal degree"—were classified by Bertini and Del Pezzo and exhibit several nice properties, for instance, they are generated by quadrics and have linear syzygies. This theory of minimal degree varieties may be generalized to study varieties in weighted projective spaces. We will discuss bounds on the degree of a nondegenerate variety in certain weighted projective spaces, as well as curves and 'weighted scrolls' which attain the minimal degree bound, and some of their syzygetic properties.