7 January to 18 January 2019
Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria
Categorification is a flexible and powerful set of techniques and ideas, which produces insight about mathematical structures by viewing them as shadows of objects in a richer world, often described in terms of higher categories. Two important and interrelated categorification programmes, which are the basis for this workshop, concern the concepts of quantum link homologies and higher representation theory. Both have their origin in mathematics, but have since developed into some of the most fruitful grounds for collaboration between pure mathematics and theoretical physics.
7 January to 11 January 2019
The first week of this workshop will make the recent rapid developments in the areas of quantum link homologies and higher representation theory accessible to non-experts and intensify communication between specialists in these and related areas like gauge theory, TQFT, quantum Teichmüller theory, and string theory.
The schedule will include individual talks and mini-courses by Sergei Gukov (Caltech), Mikhail Khovanov (Columbia U), Thang Le (Georgia Tech), and Anthony Licata (ANU).
14 January to 18 January 2019
The second week will be used to host a research conference with thematic emphasis on categorification of skein theory and 3-manifold invariants.
Participation in ESI workshops is by invitation only. But please get in touch with the organizers if you are interested!