–
Room P4.35, Mathematics Building
Marco Mackaay, Univ. Algarve
web algebras, cyclotomic KLR algebras and
categorical quantum skew Howe duality
I will introduce web algebras , which
involve Kuperberg's web space and Khovanov
foams with boundary in . These algebras are
the analogues of Khovanov's arc
algebras. I will show how the are related to cyclotomic
Khovanov-Lauda-Rouquier algebras (cyclotomic KLR algebras, for
short) by a categorification of quantum skew Howe duality. This
talk is closely related to the next one by Robert. In particular, I
will show that the Grothendieck group of is isomorphic to
and that, under this isomorphism, the indecomposable
projective -modules, which Robert constructs explicitly,
correspond precisely to the dual canonical basis elements in
.
Categorification mini-workshop