Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Graeme Segal
Affiliation:

Oxford
Date:

Wed, 2011-05-04 14:15 - 15:15 Quantum field theory has many roles, and the lectures will be about three of them. The primary role is to provide a description of all of fundamental physics when gravity is firmly excluded. A second, at first surprising, role has emerged from string theory, which is a theory of gravitation: it turns out that a two-dimensional field theory can be regarded as a generalized manifold, and in particular can be a model for space-time. Thirdly, quite apart from physics, the concept of a field theory has taken on a new life as an organizing principle in other areas of mathematics - not only in geometry and representation theory, but even in connection with quantum computing.

The three roles can be seen together as aspects of noncommutative geometry, and that will be a central theme of the lectures. The talks will aim to show how powerful the field theory idea is by jumping between a variety of contexts, beginning from the origins of the structure in particle physics, with a little about so-called "Wick rotation", and then moving towards more pure-mathematical applications to analysis, algebra, and the structure of manifolds.

Video:

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3240

[3] http://www.mpim-bonn.mpg.de/node/3372

[4] http://www.mpim-bonn.mpg.de/sites/default/files/videos/download/segal_qft_2011_part2.flv

[5] http://www.mpim-bonn.mpg.de/sites/default/files/videos/download/segal_qft_2011_part2.mp4

[6] http://www.mpim-bonn.mpg.de/sites/default/files/videos/download/segal_qft_2011_part2.webm