Moduli of stable fibrations

Abstract: Smooth fibrations between projective varieties can be thought of as both a generalisation of vector bundles and as a way of studying the behaviour of projective varieties in families. On holomorphic vector bundles, the Hitchin-Kobayashi correspondence establishes an equivalence between slope-stability and the existence of canonical connections, called Hermite-Einstein connections. A foundational result in the theory of vector bundles is the construction of a moduli space of stable vector bundles; such a moduli space can also be constructed analytically through the Hitchin-Kobayashi correspondence. On smooth fibrations we will define an analytic stability condition which we use to construct a moduli space of analytically stable smooth fibrations.

algebraic geometrycombinatorics

Audience: researchers in the topic

Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html