Modular Forms and Quantum Knot Invariants (18w5007)


(University College Dublin)

(Kyushu University)

(CNRS, Université Paris 7)


The Banff International Research Station will host the "Modular Forms and Quantum Knot Invariants" workshop from March 11th to March 16th, 2018.

This workshop will explore newly emerging connections between modular forms and quantum knot invariants. Modular forms have enjoyed long and fruitful interactions with many areas in mathematics such as number theory, algebraic geometry, combinatorics and physics. Quantum knot invariants have their origin in the seminal work of Jones in 1984 on von Neumann algebras and Witten in 1988 on topological quantum field theory.

The goal of this intense five-day workshop is to bring together international experts and young researchers in low-dimensional topology, number theory, string theory, quantum physics, algebraic geometry, conformal field theory, special functions and automorphic forms to discuss new developments and investigate potential directions for future research at the crossroads of these diverse areas.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).