Lecture Notes on Algebro-Geometric Derived Categories and Applications.
Workshop at
the Institute for Advanced Study. March 2008.
Organizers: R. Bezrukavnikov and R. MacPherson.
Denis Auroux:
Relative Fukaya and relative homological mirror symmetry
Kevin Costello:
Calculations of categorical Gromov-Witten invariants
Dennis Gaitsgory:
Langlands duality for quantum groups
Alexander Goncharov:
Quantum dilogarithm and quantization of cluster varieties
Daniel Huybrechts:
Derived categories of smooth projective varieties
(Slides by the speaker)
Bernhard Keller:
Quiver mutation and derived equivalence
Joel Kamnitzer:
Knot homology via derived categories of coherent sheaves
Vincent Lafforgue:
Geometric Langlands duality on P1 and Arthur's SL2
Jacob Lurie:
Ring Spectra and Koszul duality
David Nadler:
Langlands duality for real groups
Andrei Okounkov:
Monodromy of the quantum differential equation for Hilbert schemes of points
on the plane
Dmitry Orlov:
D-branes in Landau-Ginzburg models and mirror symmetry
Raphael Rouquier:
Higher Representation Theory
Olivier Schiffmann:
Eisenstein series for elliptic curves and Macdonald polynomials
Paul Seidel:
Fukaya categories and An quiver algebras
Catharina Stroppel:
Convolution vs. Ext algebras and embedded TQFT
Bertrand Toen:
Grothendieck group of dg categories
Gabriele Vezzosi:
Introduction to Derived Algebraic Geometry