Geometry Seminar

Date: October 17, 2022

Time: 3:00PM - 3:50PM

Location: BLOC 302

Speaker: Luigi Ferraro, Texas Tech

Title: The Improved New Intersection Theorem Revisited

Abstract: The origins of the Improved New Intersection Theorem can be traced back to the following linear algebra exercise: Let U, V, and W be vector spaces over a field with U and V subspaces of W. Then the dimension of the intersection of U and V is at least dim U + dim V - dim W. In their most modern forms, the intersection theorems are concerned with bounding the length of finite free complexes over local rings. In this talk, we will explore the history of these theorems, culminating in a result due to L. Christensen and me.