CORDIS Project
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This project explores the connections between differential geometry, topology, and combinatorial theories to develop a universal volume formula for moduli spaces of flat connections. It aims to address significant mathematical problems, including the Kashiwara-Vergne problem and integrable systems in symplectic geometr…
The project lies at the crossroads between three different topics in Mathematics: moduli spaces of flat connections on surfaces in Differential Geometry and Topology, the Kashiwara-Vergne problem and Drinfeld associators in Lie theory, and combinatorics of planar networks in the theory of Total Positivity.The time is ripe to establish deep connections between these three theories.
The main factors are the recent progress in the Kashiwara-Vergne theory (including the proof of the Kashiwara-Vergne…
UNIVERSITE DE GENEVE
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