The lecture courses.

The following is a preliminary outline of each course. Each course will include exercise sessions supervised by an expert in the area.


Rational Cherednik algebras

Iain Gordon (university of Edinburgh), assistant Martina Balagovic (Univeristy of Newcastle)

  • Basics of rational Cherednik algebras
  • Category O
  • Dunkl operators and The Knizhnik-Zamolodchikov functor
Background reading material: arxiv.org/abs/1210.1239, arxiv.org/abs/0712.1568 and arxiv.org/abs/1001.0432

Exercise sheets: Sheet 1 Solutions 1 Sheet 2 Sheet 3

Typed notes of the lectures, by Robert Laugwitz

Hecke algebras and quiver Hecke algebras

Andrew Mathas (University of Sydney), assistant Chris Bowman (City Univeristy)

  • Hecke algebras
  • Quiver Hecke algebras
  • 2-Kac-Moody Lie algebras and categorification
Background reading material: arxiv.org/abs/1310.2142 and arxiv.org/abs/0909.4844

Exercise sheets: All sheets

Categorification  in Lie theory

Catharina Stroppel (University of Bonn), assistant Michael Ehrig (Univeristy of Bonn)

  • Categorification of finite dimensional gl_n modules
  • Categorification of Temperly-Lieb algebras
  • Categorification and Knot invariants
Background reading material: arxiv.org/abs/math/0702746 and http://arxiv.org/abs/1401.6037v1

Exercise sheets: Sheet 1 Sheet 2, Sheet 3



Support

The research school is supported by the London mathematical society and the Clay institute.

LMSThe Clay institute