Termine

Abstract: A topological quantum field theory (TQFT) is a symmetric monoidal functor from a bordism category to the category of vector spaces, providing a physical axiomatization of quantum field theories. TQFTs have been studied extensively by topologists, with the goal of providing manifold invariants that are stable under gluing. Extending TQFTs to higher bordism categories enables higher codimension manifold gluing. The physical concept of unitarity in TQFTs can be described using dagger categories. However, the standard definition of dagger categories conflicts with the principle of equivalence, complicating higher-categorical generalizations. In this talk, I define dagger 2-categories to establish a definition of unitary 2-TQFTs. I state a classification result of unitary extended 2-dimensional TQFTs, which suggests a unitary version of the cobordism hypothesis. This is based on joint work with Lukas Müller and many others.

Am 22.07.24 um 15 Uhr findet die Promotionsfeier in der Aula des Schlosses statt. Alle FB-Mitglieder sind herzlich eingeladen.

MMGS graduate Johannes Branahl will join us to talk about his current position as Senior Consultant in Embedded Research at zeb Consulting. Achim Krause will talk about the professorship he is about to start.

The 3 YAM-Fellows (2023/2024) present their research they have been working on during their year at MM. Junior Parfait Ngalamo, Marjory Mwanza and Abakar Assouna

Abstract

MM Connect meets Women in Maths: Arrival Talks by Raquel Murat and Bahareh Yousefi

MM Spotlight on Planning and applying for (the next) postdoc position (for advanced MMGS members and MM postdocs) offered by the MM Early Career Support