Conference on "Quantum Topology"

"Hot Topics" Conference on "Quantum Topology", May 12 - 16, 2025

The discovery of polynomial invariants of knots by Jones sparked the study of quantum topology in the late 80s and 90s. Work over the last two decades has led to deeper understanding of the mathematical structures behind these invariants. Broadly, we have gained a deeper understanding of how they relate to the geometric and number theoretic properties of three-manifolds. In this conference, we will explore some of these recent advances surrounding work of Garoufalidis and collaborators. In particular, the themes of the conference will involve the Habiro ring, quantum modularity, quantum trace maps, regulators in algebraic K-theory, resurgence, and skein modules.

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Speakers:

Dror Bar-Natan (University of Toronto)
Francis Bonahon (USC Dornsife)
Kathrin Bringmann (University of Cologne)
Frank Calegari (University of Chicago)
Tudor Dimofte (University of Edinburgh)
Nathan Dunfield (University of Illinois at Urbana-Champaign)
Cameron Gordon (University of Texas at Austin)
Kazuo Habiro (University of Tokyo)
Efstratia Kalfagianni (Michigan State University)
Rinat Kashaev (Université de Genève)
Maxim Kontsevich (IHES) (tbc)
Thang Le (Georgia Institute of Technology)
Ciprian Manolescu (Stanford University)
Marcos Marino (Université de Genève)
Peter Scholze (MPIM Bonn)
Sakie Suzuki (Institute of Science Tokyo)
Roland van der Veen (University of Groningen)
Campbell Wheeler (IHES)
Don Zagier (MPIM Bonn)

Registration:

will follow

Contact:

conference@mpim-bonn.mpg.de

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