Derived categories of the Cayley plane and the coadjoint Grassmannian of type F

no code implementations • 5 May 2020 • Pieter Belmans, Alexander Kuznetsov, Maxim Smirnov

A general hyperplane section of the Cayley plane is the coadjoint Grassmannian of Dynkin type $\mathrm{F}_4$.

Algebraic Geometry Representation Theory Symplectic Geometry

Residual categories for (co)adjoint Grassmannians in classical types

no code implementations • 13 Jan 2020 • Alexander Kuznetsov, Maxim Smirnov

In our previous paper we suggested a conjecture relating the structure of the small quantum cohomology ring of a smooth Fano variety to the structure of its derived category of coherent sheaves.

Algebraic Geometry Representation Theory Symplectic Geometry