School of Mathematical Sciences

Stability of toric vector bundles in terms of parliaments of polytopes

Location
Teams
Date(s)
Thursday 26th January 2023 (10:00-11:00)
Contact
Event Convenor Contact: A.M.Kasprzyk@nottingham.ac.uk
Description
Speaker's Name: Lucie Devey
Speaker's Affiliation: Frankfurt and Grenoble
Speaker's Research Theme(s): Algebraic Geometry Seminar,
Abstract:
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: https://teams.microsoft.com/l/meetup-join/19%3abc0bccd250d74459ac05c0b3e0ff9b76%40thread.tacv2/1673829696060?context=%7b%22Tid%22%3a%2267bda7ee-fd80-41ef-ac91-358418290a1e%22%2c%22Oid%22%3a%22b188ae05-9a70-45f9-9cbb-adf9613b6493%22%7d

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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