Conformal Blocks from Vertex Operator Algebras

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• Chiara Damiolini (University of Texas at Austin)
• Thursday 06 June 2024, 14:00-15:00
• Seminar Room 2, Newton Institute.

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EMG - New equivariant methods in algebraic and differential geometry

Spaces of conformal blocks are naturally constructed starting from a geometric datum (a projective curve with some marked point) and a representation theoretic input (e.g., a vertex algebra V and some V-modules). Varying the geometric data, these conformal blocks define sheaves on the moduli space of curves which satisfy particularly nice combinatorial and functorial properties. In this talk I will give an overview of these properties and discuss open problems related to conformal blocks. Based on joint work with A. Gibney, D. Krashen and N. Tarasca.

This talk is part of the Isaac Newton Institute Seminar Series series.

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