Generalising the Applicability of the Hitchin Connection – Understanding the Dependence on the Kähler Polarization in Geometric Quantization

PhD defence, Friday 12 January 2018, Kenneth Rasmussen.

2018.01.12 | Trine Berndt Turtiainen Scheelke

Kenneth Rasmussen

Rasmussen has studied the mathematical aspects of quantization, mainly through the context of so-called geometric quantization using Kähler polarizations. He has worked explicitly with the so-called Hitchin connection, which relates the quantizations arrising from different choices of Kähler structure. His research together with supervisor Jørgen Ellegaard Andersen has culminated in generalisations of earlier work by the prior, wherein the Hitchin connection was constructed for a much more general class of families of Kähler structures.

The PhD degree was completed at the Center for Quantum Geometry of Moduli Spaces (QGM), Department of Mathematics, Science and Technology, Aarhus University.

This résumé was prepared by the PhD student.

Time: Friday 12 January 2018 at 14.00
Place: Building 1531, room 225, Department of Mathematics, Aarhus University
Title of dissertation: Hitchin Connections for Various Families of Kähler Structures
Contact information: Kenneth Rasmussen, e-mail: , tel.: +45 6137 6357
Members of the assessment committee:
Professor Martin Schlichenmaier, Mathematics Research Unit, University of Luxembourg
Professor Steen Markvorsen, Department of Mathematics, Technical University of Denmark
Professor Marcel Bökstedt (chair), Department of Mathematics, Aarhus University
Main supervisor:
Professor Jørgen Ellergaard Andersen, QGM, Department of Mathematics, Aarhus University
Language: The PhD dissertation will be defended in English

The defence is public.
The dissertation is available for reading at the Graduate School of Science and Technology/GSST,
Ny Munkegade 120, building 1520, rooms 128-134, 8000 Aarhus C.

PhD defence
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Revised 25.04.2018