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Rigorous computation of the endomorphism algebra of a Jacobian Voight, John

Description

We describe methods to efficiently and rigorously compute the endomorphism algebra of the Jacobian of a curve. We discuss improvements to complex analytic methods and a method that entirely avoids numerical computation using Puiseux series. This is joint work with Edgar Costa, Nicolas Mascot, and Jeroen Sijsling.

Item Metadata

Title
Rigorous computation of the endomorphism algebra of a Jacobian
Creator
Voight, John
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2017-03-15T11:30
Description
We describe methods to efficiently and rigorously compute the endomorphism algebra of the Jacobian of a curve. We discuss improvements to complex analytic methods and a method that entirely avoids numerical computation using Puiseux series. This is joint work with Edgar Costa, Nicolas Mascot, and Jeroen Sijsling.
Extent
40 minutes
Subject
Mathematics; Algebraic geometry; Number theory
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Dartmouth College
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2017-09-11
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0355542
URI
http://hdl.handle.net/2429/63016
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Faculty
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Rights

Attribution-NonCommercial-NoDerivatives 4.0 International