Cody Roth
Date
Monday March 14, 202211:00 am - 12:15 pm
Location
Jeffery Hall Room 222 or Online via ZoomEvent Category
Curves Seminar
Monday, March 14th, 2022
Time: 11:00 a.m. Place: Jeffery Hall Room 222, or Online via Zoom (contact Deepanshu Prasad for Zoom link)
Speaker: Cody Roth
Title: Structure of Orlik Solomon Algebra for Central Arrangements
Abstract: We will show that given any nonempty central arrangement, the $\mathcal{K}$-linear boundary map on $\mathcal{E}$, the exterior algebra formed from the arrangement, can be naturally defined on the corresponding Orlik-Solomon algebra $\mathcal{A}$, and this definition gives an acyclic chain complex $(\mathcal{A}, \partial)$. We also show how $\mathcal{A}$ can be decomposed into a direct sum indexed via the intersection poset of the arrangement.