Representations of Atiyah algebroids and logarithmic connections

speaker: Pietro Tortella (SISSA)

abstract: We study representations of the Atiyah algebroid of a line bundle, and establish some relation with flat logarithmic connections. Thus we are able to formulate in a natural way established properties of logarithmic connections. As an application, we give a "functorial" definition of the residue of a logarithmic connection, and show that Deligne's Riemann-Hilbert correspondence between representations of the fundamental group and flat meromorphic bundles follows directly from the second theorem of Lie for Lie algebroids/groupoids.

timetable:
Fri 15 May, 9:20 - 10:10, Sala Conferenze Centro De Giorgi
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