Registration/Poster Setup/Opening Remarks
Speaker: Xianlong Ni
Title: TBA
Abstract: TBA
Speaker: Anastasia Nathanson
Title: Permutation action on chow rings of matroids
Abstract: Given a matroid with a symmetry group, we study the induced group action on the Chow ring of the matroid with respect to symmetric building sets. This turns out to always be a permutation action. Work of Adiprasito, Huh and Katz showed that the Chow ring satisfies Poincar\'e duality and the Hard Lefschetz theorem. We lift these to statements about this permutation action, and suggest further conjectures in this vein.
Poster Session
Lunch
Speaker: Karthik Ganapathy
Title: TBA
Abstract: TBA
Speaker: Feiyang Lin
Title: Balanced+balanced splitting loci have rational singularities
Abstract: Whenever there is a vector bundle on a P^1-bundle, the base is stratified by how the vector bundle splits when it is restricted to the fibers. The strata that arise this way are called splitting loci. In this talk, I will explain how splitting loci are defined and explain why they arise naturally. Then I will give an outline of the proof that certain splitting loci have rational singularities. The key ingredient is the construction of a modular resolution of singularities for all splitting loci, and cohomology vanishing for certain tautological bundles on Quot schemes on P^1.
Turbo Talks
Coffee
Speaker: Caitlin Davis
Title: Weighted rational curves and the (nonstandard) Koszul property
Abstract: (Joint work with Ola Sobieska.) The rational normal curve is a well-understood projective variety whose coordinate ring has many nice algebraic properties. We consider an analogous family of curves in weighted projective space, and we show that this family of curves has many of the same algebraic properties as the rational normal curve. In this talk, I will introduce the weighted rational curves as a case study for the (nonstandard) Koszul property.
Speaker: Bek Chase
Title: TBA
Abstract: TBA
Speaker: Nawaj KC
Title: TBA
Abstract: TBA
Closing Remarks