Friday, July 20, 15:00, 8.339
Hongxing Chen (Capital Normal University, Beijing), Constructions of
recollements of derived module categories from big tilting complexes.
Given a good 1-tilting module T over an associative ring A, it was
shown that the derived
category of the endomorphism ring B of T is a recollement of the derived
categories of the rings A
and C, where C is the universal localization of B. Unfortunately, this
result can't be extended to
n-tilting modules for n bigger than one. Fortunately, since tilting modules
can be regarded as a special
kind of big tilting complexes, it seems reasonable to ask for a similar
result by replacing 1-tilting modules
with two-term big tilting complexes. This is a joint work with Changchang Xi
and Huabo Xu.