Séminaire - Luca Migliorini : The Supports of the Hitchin Fibration on the Reduced Locus

Bảo Châu NgôCollège de FranceFormes automorphes (chaire internationale)Année 2023-2024Théorie géométrique des représentationsSéminaire - Luca Migliorini : The Supports of the Hitchin Fibration on the Reduced LocusLuca MiglioriniFull Professor University of BolognaRésuméI will report on recent joint work with M. Mauri and R. Pagaria which, building on my previous work with de Cataldo and Heinloth, gives a complete determination of the supports in the sense of Ngô of the Hitchin fibration (for GL_n), and the associated local systems, on the locus where the spectral curve is reduced.Luca MiglioriniProfessor at the University of Bologna since 2001, member of the school of Mathematics of the Institute for Advanced study in Princeton in the spring term 2007 and spring term 2015, and guest of several other institutions such as Max Planck Institut in Bonn, and Institut des Hautes études scientifiques. Author of about 40 papers, mostly focused on the topology of algebraic maps.