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Quantization of spectral curves and DQ-modules

Francois Petit
(Université du Luxembourg)
Seminar
Tirsdag, 9 maj, 2017, at 14:30-15:30, in Aud. D2 (1531-119)
Abstrakt:
In this talk, I will explain how the quantization of spectral curves associated to Higgs bundles can be studied from the standpoint of DQ-modules. These are objects arising from the study of deformation quantization of complex Poisson manifolds. In particular, I will prove that, given an holomorphic Higgs bundle on a compact Riemann surface of genus greater than one, there exists an holonomic DQ-module supported by the spectral curve associated to this bundle.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen