COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Yang-Mills measure on the two-dimensional torus as a random distribution

## Yang-Mills measure on the two-dimensional torus as a random distributionAdd to your list(s) Download to your calendar using vCal - Ilya Chevyrev (University of Oxford)
- Friday 23 November 2018, 11:00-12:30
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact INI IT. SRQ - Scaling limits, rough paths, quantum field theory The Yang-Mills measure on a two-dimensional compact manifold has been completely constructed as a stochastic process indexed by loops. In this talk, I will present a construction of the Yang-Mills measure on the two-dimensional torus as a random distribution. More specifically, I will introduce a space of distributional one-forms for which holonomies (i.e. Wilson loop observables) along axis paths are well-defined, and show that there exists a random variable in this space which induces the Yang-Mills holonomies. An important feature of this space of one-forms is its embedding into Hölder-Besov spaces, which commonly appear in the analysis of stochastic PDEs, with the small scale regularity expected from perturbation theory. The construction is based on a Landau-type gauge applied to lattice approximations. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 2, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsStatistical Software Training Arctic Talks Hearing Group Meetings## Other talksColour and Vision Understanding cellular heterogeneity in pancreatic cancer COMPUTER VISION: GEOMETRY, UNCERTAINTY AND MACHINE LEARNING HOME BROADBAND AND THE INTERNET - STAYING AHEAD OF THE CURVE Added by David Blake |