Consider a trivial holomorphic vector bundle on the Riemann sphere, equipped with a meromorphic connection. Isomodromic deformations of the connection are controlled by a system of nonlinear differential equations, as one varies the position of the poles and the (diagonal) principal part.In this talk we will consider meromorphic connections with Poincaré rank 2 at infinity plus other simple poles, recall how to encode the isomonodromy equations in the flow of a timedependent integrable Hamiltonian system, and then quantise the Hamiltonians. The result is a flat connection on a vector bundle, and the construction generalises the derivation of the Knizhnik–Zamolodchikov connection as a quantisation of the isomonodromy equations for Fuchsian systems.
You are here
Quantum isomonodromy and simply laced connections
Research Group:
Gabriele Rembado
Institution:
Paris VI
Location:
A134
Schedule:
Wednesday, June 13, 2018  14:00
Abstract:
Openings
 Public Calls for Professors
 Temporary Professors/Researchers/Visiting Professors
 SISSA Mathematical Fellowships
 Marie SklodowskaCurie Grants
 Post Doctoral Fellowships
 PhD Scolarships
 SIS Fellowships
 Undergraduate Fellowships
 Postgraduate Fellowships
 MSc in Mathematics
 MSc in Data Science and Scientific Computing (DSSC)
 Professional Master Courses
Upcoming events
 Federico Bassetti Efficient computation of KantorovichWasserstein distances and Wasserstein Barycenters between ddimensional histograms Room: A128

John Cremona
The Lfunctions and modular forms database project
Wednesday, January 23, 2019  16:00

Flavia Santarcangelo
Isoperimetry in MCP spaces
Friday, January 25, 2019  14:00

Stefano Baranzini
Examples of extremal metrics
Monday, January 28, 2019  14:30
Today's Lectures

Ugo Boscain
11:00 to 13:00

Giovanni Noselli
14:00 to 16:00
Recent publications

F. Auricchio; M. Conti; A. Lefieux; S. Morganti; A. Reali; G. Rozza; A. Veneziani,

G. Cotti; B. Dubrovin; D. Guzzetti,Local moduli of semisimple Fro...

N. Giuliani; A. Mola; L. Heltai,πBEM : A flexible parallel im...

F. Salmoiraghi; A. Scardigli; H. Telib; G. Rozza,Freeform deformation, mesh mo...