scholarly journals Homogeneous spaces, algebraic $K$-theory and cohomological dimension of fields

2021 ◽  
Author(s):  
Diego Izquierdo ◽  
Giancarlo Lucchini Arteche
Keyword(s):  
Homogeneous Spaces ◽  
Cohomological Dimension ◽  
K Theory

scholarly journals Elliptic classes on Langlands dual flag varieties

2021 ◽  
pp. 2150014
Author(s):  
Richárd Rimányi ◽  
Andrzej Weber
Keyword(s):  
Mirror Symmetry ◽  
Homogeneous Spaces ◽  
Flag Variety ◽  
Schubert Calculus ◽  
Schubert Varieties ◽  
Characteristic Classes ◽  
Flag Varieties ◽  
K Theory

Characteristic classes of Schubert varieties can be used to study the geometry and the combinatorics of homogeneous spaces. We prove a relation between elliptic classes of Schubert varieties on a generalized full flag variety and those on its Langlands dual. This new symmetry is motivated by 3D mirror symmetry, and it is only revealed if Schubert calculus is elevated from cohomology or K theory to the elliptic level.

Sign in / Sign up

Export Citation Format

Share Document