Logo: Riemann Center for Geometry and Physics/Leibniz Universität Hannover
Logo: Riemann Center for Geometry and Physics/Leibniz Universität Hannover
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Riemann Workshop

Gauge Theories in Higher Dimensions

August 11 – 14, 2014
Leibniz Universität Hannover

Yang-Mills theory was formulated in 1954 and became an essential ingredient in the Standard Model of particle physics in the 1970s. At the end of that decade, important solutions to the Yang-Mills equations (monopoles, instantons) were discovered in physics and their moduli spaces were constructed in mathematics. These seminal studies took place on four-dimensional (space-time) manifolds. Fuelled by the advance of string theory and the need of compactification on 6- or 7-dimensional internal spaces with special structures, Yang-Mills theory in higher dimensions has become a wide field of contemporary research since the mid-eighties, in mathematics and theoretical physics alike.

This workshop intends to bring together active researchers from both areas for an exchange on the subject, in particular regarding topics such as

Instantonic solutions and their moduli spaces

Supersymmetric extensions

Conformal field theories and twistor methods

Donaldson-Thomas invariants

The program consists of 50-minute talks by invited participants beginning on Monday morning and ending at noon on Thursday, with late Tuesday afternoon free for excursions or other activities.