Event description
Algebraic geometry seminar by Francesco Malaspina (PoliTO)
Abstract: There has been increasing interest on the classification of arithmetically Cohen-Macaulay (for short aCM) sheaves on various projective varieties, which is important in a sense that the aCM sheaves are considered to give a measurement of complexity of the underlying space.
A special type of aCM sheaves, called the Ulrich sheaves, are the ones achieving the maximum possible minimal number of generators. The notion of instanton bundle over the projective space is important both in theoretical physics and in differential and algebraic geometry.
Recently, using derived category techniques, a notion of instanton bundle on Fano varieties with Picard number one has been given by Faenzi and Kuznetsov. In the talk we will discuss how to extend this notion to any polarized projective variety and we will see how the notion of Ulrich bundle can be considered the first step.