A DG guide to Voevodsky's motives
We give a concise exposition of Voevodsky's theory of motives.
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arXiv subjects
A. Beilinson
Publications and source records attributed to A. Beilinson.
Remarks on topological algebras
The note complements topological aspects of the theory of chiral algebras.
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Tilting exercises
This is an application of the theory of tilting objects to the geometric setting of perverse sheaves. We show that this theory is a natural framework for Beilinson's gluing of perverse sheaves construction. In the special case of Schubert stratification of a flag variety we get a short proof of Soergel's "Struktursatz", and describe (following a conjecture of Kapranov) Serre functor for category O. Some of our results were obtained independently by Rouquier.
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Langlands parameters for Heisenberg modules
We show that any module over a Heisenberg Lie algebra is an "integral" over the space of local systems for the dual torus of modules over twisted Heisenberg lattice vertex algebras
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