CORDIS Project
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This project focuses on understanding the geometric structures in mathematics, particularly through the study of moduli spaces and deformation spaces. It aims to explore their properties and connections to various mathematical fields, enhancing the understanding of topological invariants.
Moduli spaces of flat bundles and representation varieties play a prominent role in various areas of mathematics.
Historically such spaces first arose in the study of systems of analytic differential equations.
Closely related, and in fact locally homeomorphic, are deformation spaces of locally homogeneous geometric structures.
Such deformation spaces often arise as solutions to basic geometric problems, and their global properties provide powerful topological invariants, in particular for three…
RUPRECHT-KARLS-UNIVERSITAET HEIDELBERG
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