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General


Description

We explain the basics of the Feynman path integral formulation of quantum field theory and how it leads to asymptotic expansions of oscillating integrals and Feynman graphs. We then make a connection to pure mathematics via operads, modular operads and related notions. We will see how operads are applied in various problems in geometry and physics, particularly to the study of moduli spaces of Riemann surfaces. Time permitting, we consider such topics as deformation quantization, the Witten conjecture and/or Chern-Simons theory.

Semester

Spring 2008 (Monday, January 21 to Friday, March 14; Monday, April 28 to Friday, May 16)

Timetable

  • Thu 13:05 - 13:55

Prerequisites

No prerequisites information is available yet.

Syllabus

No syllabus information is available yet.

Students


Photo of Bruce Bartlett
Bruce Bartlett
(Sheffield)
Photo of Christoph Bauermeister
Christoph Bauermeister
(Nottingham)
Photo of Andrew Bruce
Andrew Bruce
(Manchester)
Photo of James Cranch
James Cranch
(Sheffield)
Photo of R Dowdall
R Dowdall
(Nottingham)
Photo of Roald Koudenburg
Roald Koudenburg
(Sheffield)
Photo of Leigh Shepperson
Leigh Shepperson
(Sheffield)
Photo of Harry Ullman
Harry Ullman
(Sheffield)
Photo of Hadi Zare
Hadi Zare
(Manchester)


Bibliography


No bibliography has been specified for this course.

Assessment



No assessment information is available yet.

No assignments have been set for this course.

Files


Files marked L are intended to be displayed on the main screen during lectures.

Week(s)File
lecture1.pdfL
lecture10.pdfL
lecture2.pdfL
lecture3.pdfL
lecture4.pdfL
lecture5.pdfL
lecture6.pdfL
lecture7.pdfL
lecture8.pdfL
lecture9.pdfL


Recorded Lectures


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