School of Mathematical Sciences

On divisorial stability of finite covers

Thursday 21st September 2023 (10:00-11:00)
Event Convenor Contact:

Speaker's Name: Theodoros Papazachariou
Speaker's Affiliation: Glasgow
Speaker's Research Theme(s): Algebraic Geometry,
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
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School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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