Olivetti Club

Ayah Almousa
An Introduction to Algebraic Shifting Theory

Tuesday, September 29, 2020 - 4:30pm
Online

In this talk, I will introduce the idea of algebraic shifting, which takes a simplicial complex $\Gamma$ to a "shifted" simplicial complex $\Delta(\Gamma)$ which is simpler to study but preserves many interesting combinatorial properties. I will then discuss applications of algebraic shifting and shifted complexes to problems in combinatorics and commutative algebra. Along the way, I will give a taste of the power of Stanley-Reisner theory, which relates combinatorial invariants of simplicial complexes to homological invariants of squarefree monomial ideals.

Refreshments in the comfort of your own home.