Homotopy locally presentable enriched categories

We will develop a homotopy theory of categories enriched in a monoidal model
category V. In particular, we will deal with homotopy weighted limits and colimits,
and homotopy local presentability. The main result, which was known for
simplicially-enriched categories, links homotopy locally presentable V-categories
with combinatorial model V-categories, in the case where all objects of V are cofibrant.

The talk reports the joint work wit S. Lack.