
Description: 
Out of a given holomorphic Lie algebroid L on a compact Riemann surface X, one can consider a corresponding Lconnection 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 \lambdaconnections, such degeneration induces an associated one at the level of moduli spaces, using the socalled LHodge moduli space. We use this to study geometric and topological properties of the moduli spaces of Lconnections 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: 
20230308

Start Time: 
15:00 
Speaker: 
André Oliveira (CMUP, Univ. Trásosmontes e Alto Douro)

Institution: 
CMUP, Universidade de Trásosmontes e Alto Douro

Place: 
Room 5.5

Research Groups: 
Algebra and Combinatorics
Geometry

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