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Geometry, Symmetry and Physics Seminar

Vector bundles of conformal blocks defined by modules over vertex algebras of CohFT-type

Angela Gibney, Rutgers University

Location:  Serin Lab E372
Date & time: Thursday, 10 October 2019 at 11:00AM - 12:00PM

Finitely generated admissible modules over certain conformal vertex algebras, together with stable pointed curves of arbitrary genus g can be used to construct dual vector spaces of coinvariants and conformal blocks.  I'll describe conditions on the vertex algebra that guarantee these spaces have a number of good properties, including that they satisfy factorization, are finite dimensional, and give rise to vector bundles on the moduli space of stable n-pointed curves of genus g.  This talk is about joint work with C. Damiolini, and N. Tarasca.