4:00 - 5:00 Michel Vaquié

System of points in saturated dg-categories

**Abstract:**

In this work we consider the question of realizing triangulated
dg-categories by derived categories of algebraic varieties. For this,
we introduce the notion of "system of points" in saturated
dg-categories. We show that given such a system on a dg-category T, we
can construct an algebraic space M, of finite type, smooth and
separated, together with a dg-functor from T to a certain twisted
dg-category of sheaves on M. We prove that this functor is furthermore
an equivalence if and only if M is proper. All along this work we
study t-strutcures on algebraic families of objects in T, which might
be of independant interest.

Ref: http://arxiv.org/abs/1504.07748

(Joint work with Bertrand Toën)