CORDIS Project
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This project focuses on understanding the geometry of Higgs bundles and their connections to theoretical physics, particularly the geometric Langlands program. It aims to develop new mathematical tools to bridge gaps in existing theories and explore the properties of these bundles in various contexts.
Higgs bundles play a fundamental role in the current panorama of mathematics and theoretical physics through their many connections.
Amongst the latter is the link with the geometric Langlands programme, a suitable generalization of the relation between a curve and its Picard variety, which moreover admits a natural quantum field theoretical interpretation.
According to this, any G- local system on a curve yields a perverse sheaf on the moduli stack of G*-bundles (where G* is the Langlands dual…
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