Speaker
Charles Almeida
(Universidade Federal de Minas Gerais, Brazil)
Description
In this talk, we will introduce basic concepts of superalgebraic geometry and explore why certain classical foundational results, such as the Birkhoff-Grothendieck splitting criterion, do not extend naturally to the supergeometric setting. We then present a splitting criterion for supervector bundles and give some examples of supervector bundles with vanishing cohomology that do not split.
Joint work with Ugo Bruzzo (SISSA).
