Combinatorics Seminar 2018

Speaker: Jun Wu (吴军), Minjiang University

Date: Sat, Jan 06, 2018

Time: 10:00 - 12:00

Venue: Middle Meeting Room

Title: Some aspects of finite geometric lattices


This talk is an introduction to geometric lattices, namely simple matroids. We start from some basic concepts, say characteristic polynomials and Tutte polynomials. We shall then pay special attention to modular elements, supersolvable geometric lattices, and the related Orlik-Solomon algebras. Partition lattices will be used as main examples to illustrate those aspects. We also plan to discuss a bit some aspects of oriented matroids.