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2025 SCGCS School -Topological Symmetries and Defects in Quantum Field Theory
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SRS
SRS
Hotel Les Sources
Chemin du Vernex 9
1865 Les Diablerets
Switzerland
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Description
Quantum field theory (QFT) is the universal language of modern theoretical physics. Originally developed to describe the interaction of light and matter, QFT has since found spectacular applications in particle, condensed matter, and statistical physics, as well as in cosmology and string theory. Some of the most profound open problems about the physics of non-topological QFTs – especially at strong coupling, beyond the reach of conventional techniques – are newly accessible thanks to recent developments in the mathematics of topological quantum field theory (TQFT). This insight comes with a dramatic evolution of the notion of symmetries in QFT: symmetries can be characterized via topological defects of various codimensions whose multidimensional fusion generalizes wildly the notion of groups to what are called categorical symmetries. This event at Les Diablerets is the fourth in a series of meetings hosted at various institutes worldwide devoted to the exploration of these aspects of symmetries and their physical applications organised by the Simons Collaboration on Global Categorical Symmetries. World-class experts in the subject from several areas of physcis and mathematics will gather in Les Diablerets in an interactive setting alternating lectures and seminars aiming at nourishing collaborations and stimulate further this rapidly evolving interdisciplinary field.
Speakers:
- Jennifer Brown: Skein theory and the quantum A-polynomial
- Alberto Cattaneo: The BV-BFV formalism
- Tudor Dimofte: Representation theory of extended operators: Tannaka duality and Koszul duality in QFT
- Thomas Dumitrescu: Physical aspects of gauge theory
- Julia Plavnik: New developments in fusion categories
REGISTRATION DEADLINE: April 1st, 2025
We fully fund the local expenses. Travel support (up to $400) may be available in limited cases upon request, to the extent that funds permit.
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