2 citations · 8 across the 28 of their papers we have counts for
5 papers · 1 filter
Some questions arising from the study of cohomology on flag varieties
Zhao Gao, Claudiu Raicu, Keller VandeBogert
A fundamental problem at the confluence of algebraic geometry and representation theory is to describe the cohomology of line bundles on flag varieties over a field of characterist…
Differential modules and Deformations of Free Complexes
Maya Banks, Keller VandeBogert
We classify (up to quasi-isomorphism) the free differential modules whose homology is equal to a given module by developing a theory for deforming an arbitrary free complex int…
Stable sheaf cohomology on flag varieties
Claudiu Raicu, Keller VandeBogert
We prove an effective stabilization result for the sheaf cohomology groups of line bundles on flag varieties parametrizing complete flags in k^n, as well as for the sheaf cohomolog…
The Total Rank Conjecture in Characteristic Two
Keller VandeBogert, Mark E. Walker
The Total Rank Conjecture is a coarser version of the Buchsbaum-Eisenbud-Horrocks conjecture which, loosely stated, predicts that modules with large annihilators must also have ``l…
Ribbon Schur Functors
Keller VandeBogert
We investigate a generalization of the classical notion of a Schur functor associated to a ribbon diagram. These functors are defined with respect to an arbitrary algebra, and in t…