Moduli of twisted Higgs bundles as a degeneration of moduli of Lie algebroid connections

Description:  Out of a given holomorphic Lie algebroid L on a compact Riemann surface X, one can consider a corresponding L-connection on a vector bundle over X. This naturally degenerates onto a (twisted) Higgs bundle on X. Via a generalization of the classical construction by Simpson of \lambda-connections, such degeneration induces an associated one at the level of moduli spaces, using the so-called L-Hodge moduli space. We use this to study geometric and topological properties of the moduli spaces of L-connections on X, as simple as their dimension or more complicated like their motivic class. This is joint work with David Alfaya (Univ. Comillas, Madrid/ICMAT). Date:  2023-03-08 Start Time:   15:00 Speaker:  André Oliveira (CMUP, Univ. Trás-os-montes e Alto Douro) Institution:  CMUP, Universidade de Trás-os-montes e Alto Douro Place:  Room 5.5 Research Groups: -Algebra and Combinatorics -Geometry See more:   <Main>