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Vietnam Institute for Advanced Study in Mathematics

The goal of the conference is to bring together world experts to discuss the latest developments in quantum topology, its applications, and its relations to other fields, especially hyperbolic geometry.

There will be around 20 talks. C. Manolescu will be the Clay lecturer.

Email: letu@math.gatech.edu

Quantum Invariants and TQFT; (Quantum) Teichmuller space, hyperbolic TQFT; Khovanov and Heegaard Floer Homology; Various versions of Volume Conjectures; AJ, slope, knot-quiver Conjectures; The Z-hat (BPS) invariant; Skein modules and algebras.

Vietnam Institute for Advanced Study in Mathematics

This summer school is organized jointly by the Vietnam Institute for Advanced Study in Mathematics (Hanoi, Vietnam) and the International Center for Theoretical Physics (Trieste, Italy), and in partnership with the Clay Mathematics Institute. There will be five 4-hour minicourses given by F. Bonahon, F.Costantino, S. Garoufalidis, I. Irmer, and C. Manolescu. Manolescu is the Clay lecturer. The minicourses are accompanied by brainstorm sessions. The goal is to introduce graduate students and young researchers to basics of quantum topology and its connection to many branches of mathematics, including low-dimensional topology, representations of quantum groups, combinatorics, and in particular hyperbolic geometry. It will also introduce the audience to applications of quantum topology to various areas of mathematics.

Email: letu@math.gatech.edu