Categorification in quantum topology
and beyond

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.

Week 1

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).

Week 2

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.

Participants

  • Rostislav Akhmechet (University of Virginia)
  • Alexandra Anokhina (ITEP Moscow)
  • Leon Barth (Ruhr-Universität Bochum)
  • Khaled Bataineh (Jordan University of Science and Technology)
  • Anna Beliakova (Universität Zürich)
  • Johannes Berger (Universität Hamburg)
  • Christian Blanchet (Institut de Mathématiques de Jussieu)
  • Erik Carlsson* (UC Davis)
  • Alex Chandler (NC State University)
  • Juliet Cooke (University of Edinburgh)
  • Zsuzsanna Dancso (University of Sydney)
  • Nathan Dowlin* (Columbia University)
  • Angelo Raffaele Fazio (Universidad Nacional de Colombia)
  • Domenico Fiorenza (La Sapienza)
  • Nicolle González (University of Southern California)
  • Eugene Gorsky (UC Davis)
  • Sergei Gukov (Caltech)
  • Jay Hathaway (University of Oregon)
  • Kazuhiro Hikami* (Kyushu University)
  • Matthew Hogancamp (University of Southern California)
  • David Jordan (University of Edinburgh)
  • Joel Kamnitzer (University of Toronto)
  • Mikhail Khovanov (Columbia University)
  • Oscar Kivinen (UC Davis)
  • Thang Le (Georgia Tech)
  • Anthony Licata (The Australian National University)
  • Yongchao Lu (Uppsala Universitet)
  • Matthew McMillan (UCLA)
  • Alexandre Minets (IST Austria)
  • Stephen Morgan* (University of Sydney)
  • Vincentas Mulevicius (Universität Hamburg)
  • Grégoire Naisse (Université catholique de Louvain)
  • Alexei Oblomkov (University of Massachusetts, Amherst)
  • Pablo Sánchez Ocal (Texas A&M University)
  • Pavel Putrov (IAS)
  • Krzysztof Putyra (Universität Zürich)
  • Hoel Queffelec (Université de Montpellier)
  • Jacob Rasmussen (University of Cambridge)
  • David Reutter (University of Oxford)
  • Elia Rizzo (Université catholique de Louvain)
  • Louis-Hadrien Robert (Université de Genève)
  • Raphaël Rouquier* (UCLA)
  • Lev Rozansky* (UNC Chapel Hill)
  • Peter Samuelson* (UC Riverside)
  • Nancy Scherich* (UC Santa Barbara)
  • Oliver Singh (Durham University)
  • Marko Stošić (Instituto Superior Técnico)
  • Catharina Stroppel (Rheinische Friedrich-Wilhelms-Universität Bonn)
  • Piotr Sułkowski (Caltech, University of Warsaw)
  • Joshua Sussan (City University of New York)
  • Dylan Thurston* (Indiana University)
  • Daniel Tubbenhauer (Universität Zürich)
  • Pedro Vaz (Université catholique de Louvain)
  • Emmanuel Wagner* (Université de Bourgogne)
  • Dominic Weiller* (The Australian National University)
  • Arik Wilbert (University of Melbourne)
  • Yue Zhao (UC Davis)
  • Zechuan Zheng (École normale supérieure)

Participation in ESI workshops is by invitation only. But please get in touch with the organizers if you are interested!

Organizers