School of Mathematical Sciences

Stability of toric vector bundles in terms of parliaments of polytopes

Thursday 26th January 2023 (10:00-11:00)
Event Convenor Contact:
Speaker's Name: Lucie Devey
Speaker's Affiliation: Frankfurt and Grenoble
Speaker's Research Theme(s): Algebraic Geometry Seminar,
Given any toric vector bundle, we may construct its parliament of polytopes. This is a generalization of the Newton polytope (or moment polytope) of a toric line bundle. This object contains a huge amount of information about the original bundle: notably on its global sections and its positivity. We can also easily know if the toric bundle is (semi-/poly-)stable with respect to any polarisation. I will give a combinatorial visualisation of stability of toric vector bundles.

Venue: Teams
Online Conference Link:

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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