WIMCS workshop on Higher Gauge Theory, TQFT’s and Categorification     May 2011

 

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The week 9-13 May is a period of concentration on Higher Gauge Theory, TQFT’s and Categorification.

 

The week is to be structured in two parts.

The first part consists of the two days Monday 9 and Tuesday 10 May with a more formal workshop.

This is followed by the second part the week with more informal talks to be given by Jeffrey Morton, Tim Porter etc.

Details of the second part will become available on this page.

 

 

The two-day workshop on 9-10 May is open to all. The talks will be held in room M/2.06.

Coffee/Tea and Buffet Lunches will be available for Registered Participants in room M/1.04.

 

 

Confirmed speakers for the two-day workshop on 9-10 May:

 

  • Aristide Baratin (Orsay, Paris)
  • Benjamin Bahr (Cambridge)
  • Jeffrey Giansiracusa (Bath)
  • Alexander Kahle (Göttingen)
  • Jeffrey Morton (Lisbon)
  • Urs Schreiber (Utrecht)
  • Jamie Vicary (Oxford)
  • Konrad Waldorf (Regensburg)
  • Christoph Wockel (Hamburg)

 

 

Gauge theory has, for many years, played an important role in mathematical physics. Similarly, various forms of Quantum Field Theory have provided models for physical phenomena. Recently both have been influenced by a process known as categorification.

 

As an example of the process, one can look at the categorification of groups. The role of groups, and in particular Lie groups, in these physical formulations, is to encode symmetries of the structure. That role is being enhanced by various `categorified groups' that encode symmetries between the symmetries. These are the 2-groups. These are a special type of (weak) 2-category, or, more exactly, of monoidal category.  They only form the bottom layer and to get the theory in its most useful form one does need to consider n-groups.

 

The study and application of these objects and other related structures involves extensive use of homotopy theory, and higher dimensional categorical methods, and links in surprising and revealing ways to adjacent areas such as non-commutative geometry. It provides higher structural interpretations (n-stacks, n-gerbes, etc.) of many of the geometric invariants of mathematical physics via higher gauge theory and gives a rich context for topological quantum field theories.

 

During the week, we will be exploring some of the interconnections and insights that these new and exciting areas are giving.

 

 

Programme, Titles and Abstracts of talks

 

The programme and abstracts of the talks for the two-day workshop are available here.

 

A poster for the two-day workshop can be downloaded here.

 

 

Registered participants for the two-day workshop on 9-10 May:

 

  • Aristide Baratin (Orsay, Paris)
  • Benjamin Bahr (Cambridge)
  • Edwin Beggs (Swansea)
  • Nicolas Dirr (Cardiff)
  • David Evans (Cardiff)
  • Alin Galatan (Cardiff)
  • Jeffrey Giansiracusa (Bath)
  • Antti Harju (Cardiff)
  • Alexander Kahle (Göttingen)
  • Thomas Kaltenbrunner (DIAS, Cardiff)
  • Grace Kennedy (Cardiff)
  • Jennifer Maier (Cardiff)
  • Jeffrey Morton (Lisbon)
  • Tim Porter (Bangor)
  • Mathew Pugh (Cardiff)
  • Florian Robl (Cardiff)
  • Urs Schreiber (Utrecht)
  • Claire Shelly (Cardiff)
  • Martin Vachovski (DIAS, Dublin)
  • Jamie Vicary (Oxford)
  • Konrad Waldorf (Regensburg)
  • Christoph Wockel (Hamburg)
  • Makoto Yamashita (Cardiff)

 

 

 

Accommodation & Places to eat

 

For a list of places to eat in Cardiff near the School of Maths and in the City Centre, see here.

For a list of Guest Houses, Bed & Breakfasts and Hotels in Cardiff, click here.

 

For other lists of accommodation in Cardiff, see:

http://www.visitcardiff.com/site/accommodation

http://www.smoothhound.co.uk/cardiff.html

 

 

Maps

 

For maps and university locations, see here.

For directions to Cardiff University, see here.

 

 

Support

 

EU-NCG members should contact their node coordinators about the possibility of funding for any events.

 

 

IT facilities

 

Temporary username and password will be available on arrival, which will enable you to log in to the Cardiff University network.

Access to computers is available in two computing labs (M/0.33, M/0.35) on the ground floor of the School of Mathematics.

You will be able to save documents on the network, but you will need to retrieve these files before you leave.

 

 

 

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