Speaker: Zhengping Gui, SIMIS
Abstract:
The talk consists of two parts. In the first part, I will introduce the notion of a chiral operad for any compact Riemann surface. This operad consists of compositions of residue operations, which gives rise to the Chevalley-Cousin complex and leads to the definition of chiral homology(derived conformal blocks). I will explain how to use this machinery to rigorously define certain Feynman integrals in 2D chiral CFTs.
In the second part, I will present an approach to define the Chevalley-Cousin complex in higher dimensions. We construct a series of chain models for the configuration space of points in an affine space and study residue operations. These residue operations can be described by a homotopy Lie algebra structure, and the latter defines a higher-dimensional analog of the Chevalley-Cousin complex. This is based on joint work in progress with Charles Young and Laura Felder.
Time: Monday April 21, 16-19, room 1103
Location: Room 1103, SIMIS
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