**Rina Anno**: Affine tangles and irreducible exotic sheaves**Clark Barwick**: A gentle introduction to derived algebraic geometry- Infinity-categories
**David Ben-Zvi**: Character sheaves and real groups**Roman Bezrukavnikov**: Stability Conditions- Stability Conditions II
- Representations of Rational Cherednik Algebras and Miracles of Science
**Alexander Braverman**: Satake isomorphism for loop groups**Dennis Gaitsgory**: Kazhdan-Lusztig equivalence between affine algebras and quantum groups**Sergei Gukov**: Link homologies, instantons and BPS invariants 1- Link homologies, instantons and BPS invariants 2
**Joel Kamnitzer**: Braid group actions on derived categories of coherent sheaves**Bernhard Keller**: Cluster algebras and quiver representations**Mikhail Khovanov**: Link homology and categorification I- Link homology and categorification II
- Link homology and categorification III
- Categorification of Quantum Groups
**Jacob Lurie**: Marston Morse Lectures: Topological Field Theory in Low Dimensions I- Marston Morse Lectures: Topological Field Theory in Low Dimensions II
- Marston Morse Lectures: Topological Field Theory in Low Dimensions III
- Marston Morse Lectures: Topological Field Theory in Low Dimensions IV
- Introduction to Derived Algebraic Geometry
**Alina Marian**: Strange Duality for Surfaces**Kevin McGerty**: Hall algebras and the quantum Frobenius**David Nadler**: Loop Spaces in Representation Theory -- notes By Denis Auroux from a related lecture series at the Workshop on Homological Mirror Symmetry (University of Miami, June 2008)**Leonid Rybnikov**: Opers and the quantum shift of argument algebra**Olivier Schiffmann**: Crystal structures on some global nilpotent cones- Finite dimensional representations of DAHA
**Catharina Stroppel**: Representation Theory of Link Homology**Bertrand Toen**: Hall algebras for triangulated categories**Valerio Toledano Laredo**: Stokes matrices and Stability Conditions II**Yakov Varshavsky**: Towards a global Langlands correspondence**Ben Webster**: Hypertoric varieties and Koszul duality**Edward Witten**: Duality from Six Dimensions I- Duality from Six Dimensions II
- Duality from Six Dimensions III
- Boundary Conditions in N=4 Super Yang Mills I (Notes by Sergei Gukov)
- Boundary Conditions in N=4 Super Yang Mills II
**Hao Zheng**: Categorification of Quantum Groups**Xinwen Zhu**: H3 and Gerbal Extensions