Fachbereich Mathematik 
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Introduction to Higgs bundles, University of Hamburg, Summer Term 2018

Lecturers: Murad Alim and Florian Beck

This is an advanced graduate course for master and phd students as well as researchers who are interested in Higgs bundles. In particular the course will serve as a preparation for the GRK summer school on Higgs bundles. The course description can be found here.

Prerequisites:
A good working knowledge of complex geometry as well as familiarity with algebraic geometry are required.

Topics of the course:
1-Review of complex and Kähler geometry
2-Hyperkähler manifolds
3-Moduli of bundles
4-Higgs bundles

Logistics:
The lectures will take place in Geomatikum in the period from September 4th until September 7th, times and location will be determined later.
There will be a mailing list for updates on the course, please send an email to murad.alim@uni-hamburg.de if you want to receive these emails.

Literature:

A good introductory reference are the lecture notes of Andrew Neitzke which can be found here.

Further background material for the course can be found in:

[GH78] Phillip Griffiths and Joseph Harris. Principles of algebraic geometry. Wiley-Interscience [John Wiley & Sons], New York, 1978. Pure and Applied Mathematics.

[Mor07] Andrei Moroianu. Lectures on K ̈ahler geometry, volume 69 of London Mathematical Society Stu- dent Texts. Cambridge University Press, Cambridge, 2007.

[Wel08] Raymond O. Wells, Jr. Differential analysis on complex manifolds, volume 65 of Graduate Texts in Mathematics. Springer, New York, third edition, 2008. With a new appendix by Oscar Garcia- Prada.




Sessions this term:

Date
Topic
Room, Time
04.09.2018
1-Review of complex and Kähler geometry
tbd
05.09.2018
2-Hyperkähler manifolds
tbd
06.09.2018
3-Moduli of bundles
tbd
07.09.2018
4-Higgs bundles
tbd







 
 
  Seitenanfang  Impress 2018-01-30, Murad Alim