On divisorial stability of finite covers

Date(s): Thursday 21st September 2023 (10:00-11:00)
Contact: Event Convenor Contact: A.M.Kasprzyk@nottingham.ac.uk
Description: Speaker's Name: Theodoros Papazachariou
Speaker's Affiliation: Glasgow
Speaker's Research Theme(s): Algebraic Geometry,
Abstract:
Divisorial stability of a polarised variety is a stronger - but conjecturally equivalent - variant of uniform K-stability introduced by Boucksom-Jonsson. Whereas uniform K-stability is defined in terms of test configurations, divisorial stability is defined in terms of convex combinations of divisorial valuations on the variety. In this talk, I will give a quick account on divisorial stability, and then I will describe the behaviour of divisorial stability under finite group actions. In particular, I will show that equivariant divisorial stability of a polarised variety is equivalent to log divisorial stability of its quotient. I will then use this result to give a general construction of equivariantly divisorially stable polarised varieties. This is joint work with R. Dervan.

Venue: Teams
Online Conference Link: https://teams.microsoft.com/l/meetup-join/19%3abc0bccd250d74459ac05c0b3e0ff9b76%40thread.tacv2/1693920677042?context=%7b%22Tid%22%3a%2267bda7ee-fd80-41ef-ac91-358418290a1e%22%2c%22Oid%22%3a%222dbd114f-1c6d-4e8b-aab9-fadd00bd8602%22%7d

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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