K-stability and moduli of higher-dimensional varieties

Date(s): Wednesday 30th April 2025 (15:30-16:30)
Contact: Event Convenor Contact: gerardo.adesso@nottingham.ac.uk
Description: Speaker's Name: Ruadhai Dervan
Speaker's Affiliation: University of Glasgow
Speaker's Research Theme(s): Pure Mathematics,
Abstract:
The construction of the moduli space of stable curves is a cornerstone of algebraic geometry, and it is natural to ask whether this construction can be generalised to higher-dimensional projective varieties. While many new difficulties arise, the theory of K-stability is conjecturally the right tool to construct such moduli spaces. The construction of moduli of K-stable Fano varieties has been, over the last decade, fully understood, but we know very little for more general varieties. I will discuss some recent progress in this direction using a variant of K-stability, partially joint work with Rémi Reboulet.

Venue: Physics C05

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

For all enquiries please visit:
www.nottingham.ac.uk/enquire