Talk by Pietro Tortella

[Fabio Perroni]

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SISSA GEOMETRY SEMINARS
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Dr. Pietro Tortella (SISSA) will give a talk on

"The Riemann-Hilbert correspondence from a Lie algebroid point of view"

on Tuesday, May 5th 2015, at 4:00 pm in Room 136, SISSA building A.


Abstract:
We establish two functors that relate logarithmic connections with  
representations of Atiyah algebroids of a line bundle.
We then use these to apply some theory of Lie algebroids to study  
problems related with logarithmic connections. As an example, we will  
obtain a definition of the residue of a logarithmic connection which  
is "more functorial", and a simple proof of Deligne's Riemann-Hilbert  
correspondence, where it follows directly from the second theorem of  
Lie for Lie algebroids/groupoids.


F. Perroni