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Lie Group Quantum Mathematics Seminar

Vertex algebras and moduli spaces of curves

Nicola Tarasca - Rutgers University

Location:  Hill 705
Date & time: Friday, 22 February 2019 at 12:00PM - 1:00PM

Abstract: This talk will focus on geometric realizations of vertex algebras. The Virasoro uniformization provides an incarnation of the Virasoro algebra in the tangent space of the Hodge line bundle on moduli of algebraic curves with marked points and local coordinates. This allows to assign to certain representations of the Virasoro algebra a sheaf on moduli of curves together with a projective connection.   After reviewing some facts on curves and their moduli spaces, I will discuss the sheaves on moduli of stable curves obtained from coinvariants of modules over conformal vertex algebras, and identify their logarithmic projective connection.

This is joint work with Chiara Damiolini and Angela Gibney.

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