Thesis
Moduli spaces of compact RCD structures
- Abstract:
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This thesis investigates RCD spaces, which are metric measure spaces with Ricci curvature bounded below and dimension bounded above in a synthetic sense. We introduce moduli spaces of compact RCD structures and study their topology. In particular, we discuss the results obtained in [MN22] (written in collaboration with Andrea Mondino) and [Nav22].
In Chapter 2, we present the primary tools we use in the thesis. We recall Gromov–Hausdorff type topologies and RCD spaces with their co...
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Authors
Contributors
+ Mondino, A
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Research group:
Geometry and Oxford Centre for Nonlinear PDE
Oxford college:
St Hilda's College
Role:
Supervisor
+ Besson, G
Institution:
Institut Fourier, Université de Grenoble
Role:
Supervisor
+ Lotay, J
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Research group:
Geometry, Mathematical Physics, and Oxford Centre for Nonlinear PDE
Role:
Examiner
+ Tuschmann, W
Institution:
Karlsruher Institut für Technologie
Role:
Examiner
Funding
+ European Research Council
More from this funder
Funder identifier:
http://dx.doi.org/10.13039/501100000781
Funding agency for:
Navarro, D
Grant:
ERC Starting Grant CURVATURE, Grant agreement No. 802689
Programme:
European Union Horizon 2020 research and innovation programme
Bibliographic Details
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
-
English
- Keywords:
- Subjects:
- Deposit date:
-
2023-07-19
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Terms of use
- Copyright holder:
- Navaro, D
- Copyright date:
- 2023
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