Tuesday, July 16, 14:45, 7.527
Hideto Asashiba (Shizuoka University / MPI Bonn)
Grothendieck constructions of (co)lax functors and gluing of derived
equivalences, I and II.
Let k be a field. We explain a gluing process of derived equivalences of
k-categories using Grothendieck constructions of colax functors from a small
category I to the 2-category of k-categories.
If we have time, we remark on a generalization of this process by extending
the definition of
Grothendieck constructions to those of lax functors from I to the bicategory
of k-categories and bimodules over them to construct derived equivalences
between triangular matrix
(or more generally tensor algebras of k-species).