Gauge Theory
This is the web page of the course Gauge
Theory, aimed at research PG students in
mathematical physics and geometry; although everyone is welcome
to attend the lectures.
Outline Syllabus
 Basic gauge theory

 Connections on principal bundles
 The YangーMills equations and (anti)selfduality
 Basic examples: Dirac monopole, BPST instanton
 Some complex geometry

 Basic Hodge theory
 Sheaf cohomology
 Some transforms

 The FourierーMukai transform
 The ADHM construction
 Nahm's equations
Schedule
Lectures take place on Tuesday at
4:10pm
in JCMB 6203 (unless
otherwise stated!), in the King's Buildings campus of
the University of Edinburgh.
Lecture notes will appear as they are produced. I try not to
modify them once they are uploaded, but I do not always succeed
due to, for example, the need to refer to equations which were
initially unlabelled. (Note to self: label all equations!) There
is also a Table of
contents which is continuously evolving.

Tuesday, 7 February 2006
JCMB 5325
José FigueroaO'Farrill

Tuesday, 14 February 2006
JCMB 5215
José FigueroaO'Farrill

Tuesday, 21 February 2006
JCMB 3317
José FigueroaO'Farrill

Tuesday, 28 February 2006
JCMB 5327
José FigueroaO'Farrill

Tuesday, 7 March 2006

Wednesday, 15 March 2006
JCMB 5215
José FigueroaO'Farrill

Tuesday, 21 March 2006
JCMB 5327
José FigueroaO'Farrill

Tuesday, 25 April 2006
José FigueroaO'Farrill
Instantons and symplectic quotients (1)

Tuesday, 2 May 2006
José FigueroaO'Farrill
Instantons and symplectic quotients (2)

Wednesday, 10 May 2006
JCMB 4312
José FigueroaO'Farrill
Instantons and symplectic quotients (3)
References
This list will be updated periodically. For the list of
references used in the notes, click here.
Last modified: 13 Dec 2007 at 02:22 GMT