Categorified isomonodromic deformations via Lie groupoids
Event details
| Date | 05.05.2014 |
| Hour | 15:15 › 17:00 |
| Speaker | Brent Pym, Oxford |
| Location | |
| Category | Conferences - Seminars |
Given a meromorphic connection on a Riemann surface, one can
seek deformations of the connection in which the locations of the poles
are varied but the monodromy and Stokes data are held fixed. This
"isomonodromy" condition actually characterizes the deformation up to
isomorphism, suggesting that the deformation should have a functorial
construction. I will describe joint work in progress with Marco
Gualtieri, in which we implement this functor using the notion of Morita
equivalence between Lie groupoids. These Morita equivalences are
themselves the solutions of an isomonodromic deformation problem, for
which the initial condition is the meromorphic projective connection
provided by the uniformization theorem.
seek deformations of the connection in which the locations of the poles
are varied but the monodromy and Stokes data are held fixed. This
"isomonodromy" condition actually characterizes the deformation up to
isomorphism, suggesting that the deformation should have a functorial
construction. I will describe joint work in progress with Marco
Gualtieri, in which we implement this functor using the notion of Morita
equivalence between Lie groupoids. These Morita equivalences are
themselves the solutions of an isomonodromic deformation problem, for
which the initial condition is the meromorphic projective connection
provided by the uniformization theorem.
Practical information
- Informed public
- Free
Organizer
- Tamas Hausel