Back to Algebraic Geometry Seminar: Fall 2026
Algebraic Geometry Seminar
Date: Tuesday, Sep 22, 2026
Time: 3:30PM - 4:30PM
Location: LCB 215
Jonathon Fleck
University of Utah
Title |
Stability of Borel-Fixed Ideals of Projective Space |
Abstract |
The Hilbert schemes classifying the closed subschemes of projective space with a fixed Hilbert polynomial are normally thought of as static objects via Grothendieck’s construction. Moreover, for projective spaces of dimensions three or more they have been shown to satisfy a Murphy’s Law of arbitrarily bad behavior. The Hilbert schemes are known, however, to be linearly connected via Borel-fixed ideals by a Theorem of Hartshorne. In this talk, we use Borel-fixed ideals to realize the Hilbert schemes as moduli spaces of Bridgeland-stable objects and use that to study variational properties. |
Algebraic Geometry