Finite Free Resolutions and opposite Schubert varieties

Abstract: In the first part of this talk I will give an update on the connection between perfect ideals of codimension 3 and Schubert varieties of exceptional groups (and more generally opposite Schubert varieties for Kac-Moody groups associated to T-shaped graphs $T_{pqr}$). I will also discuss a parallel theory which points to similar connection between Gorenstein ideals of codimension 4 with n generators and opposite Schubert varieties in homogeneous spaces related to a Kac-Moody group of type $\mathsf E_n$.

algebraic geometryalgebraic topologycomplex variablesdifferential geometrygeometric topologymetric geometryquantum algebrarepresentation theory

Audience: researchers in the topic

Sapienza A&G Seminar

Series comments: Weekly research seminar in algebra and geometry.

"Sapienza" Università di Roma, Department of Mathematics "Guido Castelnuovo".