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Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration Ziegler, Paul

Description

I will talk about a recent proof, joint with M. Gröchenig and D. Wyss, of a conjecture of Hausel and Thaddeus which predicts the equality of suitably defined Hodge numbers of moduli spaces of Higgs bundles with SL(n)- and PGL(n)-structure. The proof, inspired by an argument of Batyrev, proceeds by comparing the number of points of these moduli spaces over finite fields via p-adic integration.

Item Metadata

Title
Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration
Creator
Ziegler, Paul
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2017-10-03T14:02
Description
I will talk about a recent proof, joint with M. Gröchenig and D. Wyss, of a conjecture of Hausel and Thaddeus which predicts the equality of suitably defined Hodge numbers of moduli spaces of Higgs bundles with SL(n)- and PGL(n)-structure. The proof, inspired by an argument of Batyrev, proceeds by comparing the number of points of these moduli spaces over finite fields via p-adic integration.
Extent
66 minutes
Subject
Mathematics; Algebraic geometry; Number theory
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: University of Oxford
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2018-04-01
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0364619
URI
http://hdl.handle.net/2429/65063
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Postdoctoral
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International