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Lie Group Quantum Mathematics Seminar

Geometric properties of sheaves of coinvariants and conformal blocks

Chiara Damiolini, Rutgers University

Location:  Zoom
Date & time: Friday, 02 April 2021 at 12:00PM - 1:00PM

One method to study the moduli space of stable pointed curves is via the study of vector bundles on them as they can yield interesting maps to projective spaces. An effective way to produce such vector bundles is through representations of vertex operator algebras: more precisely attached to n simple modules over a vertex opearator algebra of CohFT type, we can construct sheaves of coinvariants over the space of stable n-pointed curves. This generalizes the construction of coinvariants associated with representations of affine Lie algebras. In this talk I will focus on some geometric properties of these sheaves, especially on global generation. Investigating this property we can see phenomena that did not occur for coinvariants associated with affine Lie algebra representations. This is based on joint work with A. Gibney and N. Tarasca and ongoing work with A. Gibney. Abstract

Zoom link
Meeting ID: 939 2146 5287
Passcode: 196884

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