Algebraic Lie Theory Workshop
(Newton Institute, 2009)

Lectures by P. Achar on derived categories and perverse sheaves:

• Lecture I (derived categories and derived functors)
• Lecture II (t-structures, perverse sheaves)
• Lecture III (D-modules, representation theory)
• Lecture IV (Decomposition theorem, purity)
• Lecture V (pointwise purity, Springer correspondence, coherent sheaves)

Lectures by Ram on symmetry, polynomials and quantization:

• Lecture I (DAHA)
• Lecture II (Chevalley groups, alcove walks)
• Lecture III (Cherednik algebras)
• Lecture IV (symmetric functions)

Lectures by J. Chuang on sl_2-categorification and derived equivalences:

• Lecture I (Broue's conjecture)
• Lecture II (sl_2-categorification)
• Lecture III (perverse equivalences)

Lectures by Rouquier on higher representations of Lie algebras:

• Lecture I (2-representation theory)
• Lecture II (generators and relations)
• Lecture III (2-representations)
• Lecture IV (simple representations)
• Lecture V (braid relations)

Lectures by Vogan on representations of real reductive groups:

• Lecture I (unitary representations, real groups, geometry of the flag variety)
• Lecture II (real forms, Cartan bijection)
• Lecture III (D-modules)
• Lecture IV (Beilinson-Bernstein, Harish-Chandra modules, signatures)

Back to R. Virk's homepage

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Last updated: 13 December, 2009