Michal Kapustka
Title: Mukai roofs and equivalences of Calabi-Yau manifolds
Abstract:
A simple Mukai pair is a pair of a prime Fano manifold F together with an ample
vector bundle E satisfying c_1(E)=c_1(F). We will call Mukai roofs Fano manifolds
of Picard number 2 that have two presentations as projectivizations of vector bundles
coming from Mukai pairs. The classification of Mukai roofs is an interesting open
problem, with partial results obtained by Kanemitsu. In this talk I will discuss how
Mukai roofs can be used to generate pairs of derived equivalent non-birational
Calabi-Yau manifolds. We will focus on the case of K3 surfaces aiming to understand
the general picture. This is joint work with Marco Rampazzo.