# Seminars & Colloquia Calendar

Lie Group Quantum Mathematics Seminar

## Convergence of sewing conformal blocks

#### Bin Gui, Rutgers University

Location:  Zoom link: https://rutgers.zoom.us/j/95247366403 Meeting ID: 952 4736 6403 Passcode: 196884
Date & time: Friday, 06 November 2020 at 12:00PM - 1:00PM

• Abstract Conformal blocks (i.e. chiral correlation functions) are central objects of chiral CFT. Given a VOA V and a compact Riemann surface $$C$$ with marked points, one can define conformal blocks to be linear functionals on tensor products of V-modules satisfying certain (co)invariance properties related to V and C. For instance, the vertex operator of a VOA V, or more generally, an intertwining operator of V, is a conformal block associated to V and the genus 0 Riemann surface with 3 marked points. Taking contractions/q-traces is a main way of constructing higher genus conformal blocks from low genus ones, and it has been conjectured for a long time that the contractions always converge. In this talk, I will report recent work on a solution of this conjecture.

Meeting ID: 952 4736 6403

Passcode: 196884, the dimension of the weight 2 homogeneous subspace of the moonshine module

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