GdT Géométrie Algébrique Complexe

Ulrich bundles on del Pezzo 3-folds

par Roberto Vacca (Roma Tor Vergata)

Europe/Paris
Salle Picard (IMT)

Salle Picard

IMT

Description

In this talk we will introduce Ulrich sheaves on algebraic varieties.
The story of those sheaves starts from module theoretical notions in the '80, but since the work of Eisenbud and Schreyer
in 2006 their geometric side has received many attentions.
We will explain the main properties of Ulrich sheaves under the weak assumption of an ample and globally generated polarization.
After some examples, the focus  will be on Ulrich bundles on Fano $3$-folds of index $2$, explaining their construction
and some properties of the associated moduli spaces.