Summer school and conference on geometric representation theory and extended affine Lie algebras

If the video looks broken into pieces, you should update your Adobe Flash Player. The organizers would like to thank Prasad Senesi and Caroline El-Chaar for their valuable help in filming the lectures and Yassir Dinar for providing us with the video he taped separately (summer school video labeled Video 2 and conference video below).

Summer School Video and Notes

• Introduction to geometric representation theory (Joel Kamnitzer, University of Toronto)
  • Video 1: Lecture 1 (the audio of this lecture is missing for the first few minutes), Lecture 2, Lecture 3, Lecture 4, Lecture 5
  • Video 2: Lecture 2 (Part 1, Part 2), Lecture 3 (Part 1, Part 2), Lecture 4 (Part 1, Part 2), Lecture 5 (Part 1, Part 2)
  • Notes: Lectures 1–5
• Introduction to quantum groups and crystals (Seok-Jin Kang, Seoul National University)
  • Video 1: Lecture 2, Lecture 3, Lecture 4, Lecture 5
  • Video 2: Lecture 3 (Part 1, Part 2), Lecture 4 (Part 1, Part 2), Lecture 5 (Part 1, Part 2)
  • Notes: Lecture 1, Lecture 2, Lecture 3, Lecture 4, Lecture 5
• Affine, toroidal and extended affine Lie algebras (Erhard Neher, University of Ottawa)
  • Video 1: Lecture 1, Lecture 2, Lecture 3, Lecture 4, Lecture 5
  • Video 2: Lecture 3 (Part 1, Part 2), Lecture 4 (Part 1, Part 2), Lecture 5 (Part 1, Part 2)
  • Notes: Lectures 1–5
• Nilpotent orbits and W-algebras (Weiqiang Wang, University of Virginia)
  • Video 1: Lecture 1, Lecture 2, Lecture 4, Lecture 5
  • Video 2: Lecture 2 (Part 1, Part 2), Lecture 3 (Part 1, Part 2), Lecture 4 (Part 1, Part 2), Lecture 5 (Part 1, Part 2)
  • Notes: Lectures 1–5
• Geometric realizations of crystals (Alistair Savage, University of Ottawa)
  • Video 1: Lecture 3, Lecture 4, Lecture 5
  • Video 2: Lecture 1 (Part 1, Part 2, Part 3), Lecture 2 (Part 1, Part 2), Lecture 3 (Part 1, Part 2), Lecture 4 (Part 1, Part 2), Lecture 5 (Part 1, Part 2, Part 3)
  • Notes: Lectures 1–5
• Representation theory of affine and toroidal Lie algebras (Vyjayanthi Chari, UC Riverside)
  • Video 1: Lecture 3, Lecture 4, Lecture 5
  • Video 2: Lecture 1 (Part 1, Part 2), Lecture 2 (Part 1, Part 2), Lecture 3 (Part 1, Part 2), Lecture 4 (Part 1, Part 2), Lecture 5 (Part 1, Part 2)
  • Notes: Lecture 1, Lecture 2, Lecture 3, Lecture 4, Lecture 5

Conference Video (Video is not available for all lectures.)

• Anthony Licata, Goresky-Macpherson duality and deformations of Koszul algebras
• Victor Ginzburg, Quantization of Bezrukavnikov's equivalence (Part 1, Part 2)
• Eugene Mukhin, Bethe algebras
• Naihuan Jing, Realizations of classical toroidal Lie algebras
• Anne Schilling, Kirillov-Reshetikhin crystals for nonexceptional types
• Brant Jones, Affine structures for certain E₆ crystals
• Michela Varagnolo, KLR algebras and canonical bases

Conference Notes (Notes are not available for all lectures.)

• Ghislain Fourier, A categorical approach to Weyl modules
• Aaron Lauda, Categorifying quantum groups
• Kailash Misra Imaginary Verma modules and Kashiwara algebras for U_q(sl(2))
• Hiraku Nakajima, Quiver varieties and cluster algebras
• Anne Schilling, Kirillov-Reshetikhin crystals for nonexceptional types, Sage demo