Embedding derived categories of curves into derived categories of moduli of stable vector bundles ( Anton Fonarev, Higher School of Economics)

26.02.2018 16:30

One out of many interesting questions about derived categories is the following conjecture by A. Bondal:
the bounded derived category of coherent sheaves of a smooth projective variety can be embedded
into the bounded derived category of coherent sheaves of a smooth Fano variety. This conjecture is rather
nontrivial even for curves. We will show how to embed the derived category of a generic curve of genus g > 1
into the derived category of rank 2 stable vector bundles with a fixed determinant of odd degree.
The proof is a nice interplay of algebraic geometry, representation theory and categorical methods.
The talk is based on a joint work with A. Kuznetsov.

Lieu

Bâtiment: Battelle

Séminaire "Fables géométriques"

entrée libre