פעילויות השבוע

In this talk we address several open questions and generalize the existing results about the uniqueness of enhancements for triangulated categories which arise as derived categories of abelian categories or from geometric contexts. If time permits, we will also discuss applications to the description of exact equivalences. This is joint work with A. Canonaco and A. Neeman.

Chow‘s theorem says that a compact analytic submanifold of projective space is algebraic. A generalization of this result (proved with Starchenko) says that a complex analytic subvariety of affine space which in addition is definable in some o-minimal structure over the reals is algebraic.

In these 2-3 talks I will speak about the history of this problem, several related and less known results, and the reasons to expect the theorem to be true (not a full proof).

Some minimal background on definability in structures, as well as basics of o-minimality will be assumed.