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Title:
Applications of factorization algebras: Gelfand-Fuchs cohomology and COHA
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Abstract:
Factorization algebras provide a powerful technique for"integrating" local statements to global ones. In this talk I will discuss two works which apply this technique to "outside" problems. First, joint with B, Hennion, finds the cohomololgy of the Lie algebra of regular vector fields on a smooth affine algebraic variety. Second, in progress with E. Vasserot, describes the cohomological Hall algebra of punctual coherent sheaves on a smooth algebraic
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