Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Singularities of Hermitian-Yang-Mills connections

Xuemiao Chen

created by daniele on 09 Feb 2021
modified on 12 Apr 2021

22 apr 2021 -- 14:30

Firenze (online)

Seminario di Geometria Differenziale e Analisi Complessa del Dipartimento di Matematica e Informatica "Ulisse Dini"


After introducing some background about stable bundles and HYM connections, I will explain both the analytic and algebraic sides when studying singularities of HYM connections.

It turns out that local algebraic invariants can be extracted to characterize the analytic side. In particular, the analytic tangent cone is an algebraic invariant. (Based on joint works with Song Sun.)

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