Higgs Grassmannians

6 Oct 2025, 15:00
1h
Littoral Hotel

Littoral Hotel

João Pessoa, Brazil

Speaker

Beatriz Graña Otero (Universidad de Salamanca, Spain)

Description

We consider a Higgs bundle $(E, \phi)$. Its Higgs Grassmiannans are subschemes of the usual Grassmannian bundles of $E$ that parameterise Higgs quotients of $(E, \phi)$. We recall how to define them, present some results about their structure, and explain how they can be used to prove some results about Higgs bundles satisfying a strong semistability condition.

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