Date:
Thu, 19/01/202313:00-14:00
Location:
Levy 6 hall and Zoom
Location: Levy 6 hall and Zoom
Zoom Link: https://huji.zoom.us/j/84511564169?pwd=SkJmY285YnFIWkZqNmxuaVZsVVQ2UT09
Meeting ID: 845 1156 4169
Passcode: 171220
Title: Cayley-Bacharach: Geometry to combinatorics (and vice versa)
Abstract: We consider special alignments of points failing to impose independent conditions on hypersurfaces of a given degree. More specifically, we consider a recent question of Levinson and Ullery on whether a matroidal analogue holds. While it turns out that this is not the case, we can understand this property better from a more geometric point of view (e.g. involving polytopes, Chow rings). Finally, we consider an amusing example where a matroid *not* coming from the fully reducible hypersurfaces relates directly to the original geometric question studied in the Cayley-Bacharach theorem.
Zoom Link: https://huji.zoom.us/j/84511564169?pwd=SkJmY285YnFIWkZqNmxuaVZsVVQ2UT09
Meeting ID: 845 1156 4169
Passcode: 171220
Title: Cayley-Bacharach: Geometry to combinatorics (and vice versa)
Abstract: We consider special alignments of points failing to impose independent conditions on hypersurfaces of a given degree. More specifically, we consider a recent question of Levinson and Ullery on whether a matroidal analogue holds. While it turns out that this is not the case, we can understand this property better from a more geometric point of view (e.g. involving polytopes, Chow rings). Finally, we consider an amusing example where a matroid *not* coming from the fully reducible hypersurfaces relates directly to the original geometric question studied in the Cayley-Bacharach theorem.