Moduli space of parahoric Higgs bundles
dc.contributor.advisor
Martens, Johan
dc.contributor.advisor
Davison, Ben
dc.contributor.author
Réga, Karim
dc.date.accessioned
2026-05-15T14:51:56Z
dc.date.issued
2026-05-15
dc.description.abstract
We study parahoric Higgs bundles over a smooth, projective curve. We start out by reviewing the notion of a parahoric group over a local field and associated group schemes constructed by Bruhat and Tits. We continue by reviewing recent criteria to prove the existence of good moduli spaces for an algebraic stack by Alper, Halpern-Leistner and Heinloth. The first result is an application of these criteria to anti-invariant Higgs bundles, which provide a specific example of parahoric Higgs bundles. Lastly, we review work on the moduli of gauged maps by Halpern- Leistner and Herrero and show how this can be used to prove the existence of a moduli space for parahoric Higgs bundles.
dc.identifier.uri
https://era.ed.ac.uk/handle/1842/44706
dc.identifier.uri
https://doi.org/10.7488/era/7221
dc.language.iso
en
dc.publisher
The University of Edinburgh
en
dc.subject
Parahoric Higgs Bundles
dc.subject
Moduli Space
dc.subject
Smooth, Projective Curve
dc.subject
Bruhat-Tits Theory
dc.subject
Alper
dc.subject
Halpern-Leistner
dc.subject
Heinloth
dc.title
Moduli space of parahoric Higgs bundles
dc.title.alternative
On the moduli space of parahoric Higgs bundles
dc.type
Thesis
dc.type.qualificationlevel
Doctoral
dc.type.qualificationname
PhD Doctor of Philosophy
Files
Original bundle
1 - 1 of 1
- Name:
- RégaK_2026.pdf
- Size:
- 843.61 KB
- Format:
- Adobe Portable Document Format
This item appears in the following Collection(s)