Columbia Mathematics Department Colloquium


Groupoids and the Riemann-Hilbert correspondence


Marco Gualtieri

University of Toronto



The relationship between a flat connection and its
monodromy is known as the Riemann-Hilbert correspondence.
It forms the foundation of our understanding of ordinary differential
equations, and is ubiquitous in the theory of integrable systems.
We will describe a precise analogy with the correspondence between
the representations of a Lie algebra and those of its associated
simply-conencted Lie group. This leads us to construct a new family
of Lie groupoids / stacks which underlie the Riemann-Hilbert correspondence.


Wednesday, October 10th, 5:00 - 6:00 p.m.
Mathematics 520
Tea will be served at 4:30 p.m.