Riemann-Hilbert Correspondences and Deformations of Lattices


15:30:00 - 17:00:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk, we will go through Chapters II and III of C. Sabbah\'s book [1], focusing on the following four notions: (1) The Riemann-Hilbert correspondence for regular singularities, concerning monodromies. (2) The Riemann-Hilbert correspondence for irregular singularities, concerning Stokes sheaves. (3) The rigidity of deformation of a logarithmic lattice. (4) The deformation of a lattice with connection having a pole of order one. Reference: [1] C. Sabbah, Isomonodromic deformations and Frobenius Manifolds: An Introduction.