GRASP: IAS Spring term 2008 Notes

Lecture Notes from the Special Program on New Connections of Representation Theory to Algebraic Geometry and Physics. Spring term 2008, Institute for Advanced Study.

Notes from IAS workshop on Gauge Theory and Representation Theory, November 2007

Notes from IAS workshop on Algebro-Geometric Derived Categories and Applications, March 2008

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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