Compactifications of algebraic groups and Schubert calculus

Acronym

P_CAG-SC

Consortium Coordinator

Gonzales Vilcarromero, Richard Paul

Start Date

August 15, 2024

End Date

August 15, 2025

Status

https://purl.org/pe-repo/concytec/estadoProyecto#concluido

Tipo de proyecto

https://purl.org/pe-repo/ocde/tipoProyecto#investigacionBasica

Description

The purpose of this project is to provide explicit generators for the equivariant cohomology of possibly singular projective equivariant embeddings of reductive groups in terms of generalized Schubert polynomials. We focus especially on the case of simple and toroidal compactifications of reductive groups. Our major tools are GKM theory, Lascoux¿ symmetrizing operators, and Renner¿s work on descent systems and H-polynomials. The results of this project shall extend previous work of Strickland and Uma on the equivariant cohomology of regular (i.e. smooth) compactifications of algebraic groups to the equivariant cohomology of more general group embeddings.

Keywords

Grupos algebraicos

;

Compactificaciones

;

Cálculo de Schubert

;

Geometría algebraica

Área de conocimiento

Natural sciences

Campo OCDE

https://purl.org/pe-repo/ocde/ford#1.01.01