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Finite orbits and canonical heights for large groups of automorphisms. Cantat, Serge
Description
Consider a complex projective surface $X$, with a non-abelian free group $G$ acting faithfully and regularly on $X$. It may happen that $G$ has infinitely many periodic orbits: this is the case when $X$ is an abelian surface and all torsion points are $G$-periodic. In this talk, I will describe recent results obtained with Romain Dujardin aiming at a complete classification of all such examples. The main players will be canonical heights, arithmetic equidistribution, and rigidity results in ergodic theory.
Item Metadata
Title |
Finite orbits and canonical heights for large groups of automorphisms.
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2020-11-13T12:30
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Description |
Consider a complex projective surface $X$, with a non-abelian free group $G$ acting
faithfully and regularly on $X$. It may happen that $G$ has infinitely many periodic orbits:
this is the case when $X$ is an abelian surface and all torsion points are $G$-periodic.
In this talk, I will describe recent results obtained with Romain Dujardin aiming at a
complete classification of all such examples. The main players will be canonical heights,
arithmetic equidistribution, and rigidity results in ergodic theory.
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Extent |
60.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: CNRS -- Université de Rennes
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Series | |
Date Available |
2021-05-13
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0397444
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International