Topological Field Theories, C*-categories and Factorization Homology

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• Lucas Hataishi (University of Oxford)
• Thursday 03 July 2025, 15:30-15:50
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TGAW01 - Crossed products and groupoid C*-algebras

In this talk I will introduce C-categories as the dimension 2 component of a 4 dimensional fully extended topological field theory. Factorization Homology will then be introduced as the principle by which one associates C-cateogories to surfaces, enforcing the strong locality feature that characterizes fully extended theories. As a main source of examples and inspiration, I will say a few words about my ongoing project with quantization of non-compact topological gauge theories, where the theory of locally compact quantum groups naturally enters the picture.

This talk is part of the Isaac Newton Institute Seminar Series series.

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