Summer School: Geometric representation theory and low-dimensional topology

3-7 June 2019

ICMS, The Bayes Centre, 47 Potterrow, Edinburgh EH8 9BT

Scientific Organisers

  • Dan Freed, University of Texas, Austin
  • David Jordan, University of Edinburgh
  • Peter Samuelson, University of California, Riverside
  • Olivier Schiffmann, University of Paris-Sud, Orsay

The aim of the workshop at ICMS the following week after this summer school is to bring together researchers in topological field theory, geometric representation theory, mathematical physics, and algebraic combinatorics to report on recent progress and open questions at the intersection of these fields. In recent years, several independent research groups have raised the possibility of new 3- and 4-dimensional topological field theories tying together Khovanov-Rozansky knot homology, double affine Hecke algebras and elliptic Hall algebras, super Yang-Mills theory, Betti quantum geometric Langlands, and Hilbert schemes. As each of these topics constitutes a specialist field in its own right, it is essential that we bring researchers together to exchange ideas and insights.

The aim of this summer school, therefore, is to prepare students for the breadth of topics covered in the workshop, through a lecture series delivered by experts in each respective field. It is expected that applicants to the summer school will also attend the workshop

We will have talks by:

  • Summer school plenary speakers
    • Tina Kanstrup, University of Bonn Knot homologies and matrix factorizations
    • Pavel Safronov, University of Zurich Shifted Poisson structures in representation theory
    • Hiro Lee Tanaka, Texas State University Topological field theory, oo-categories, and factorization homology
    • Monica Vazirani, University of California, Davis Hecke algebras and representation theory

  • Summer school other lecturers
  • Juliet Cooke, University of Edinburgh
    Quoc Ho, Institute of Science and Technology Austria
    Gregor Masbaum, CNRS
    Alexandre Minets, Institute of Science and Technology Austria
    Jose Simental Rodriguez, University of California, Davis
    Nicolle Sandoval Gonzalez, University of Southern California
    Gus Schrader, Columbia University
    Alexander Shapiro, University of Edinburgh
    Kostiantyn Tolmachov, Perimeter Institute and University of Toronto

Further details about the syllabus will appear here in Spring 2019.

Travel and accommodation

It is expected that accommodation expenses for all participants for both weeks will be covered by the workshop grants. For US-based participants, we may be able to cover flights, due to a pending NSF supplementary grant. It may be possible to help with travel expenses for other participants, if they would otherwise be unable to attend. Please provide details of financial support required on the application form.

ICMS does NOT use third parties to arrange accommodation.  If you are approached by a third party (e.g. Business Travel Management) asking for booking details, please ignore.  If you have any concerns please contact ICMS.

How to apply

The deadline for applications for the summer school has passed and all applicants have been advised of decisions. We cannot accept late applications. The organizers are strongly committed to fair gender balance and to the inclusion of participants of diverse backgrounds.