Based on joint work with B. Dubrovin and D. Guzzetti. In the first part of this seminar I will recall basic notions of the general theory of meromorphic linear ODEs in the complex plane and of their Isomonodromic deformations. After this, I will show how under minimal and sharp conditions one of the main assumptions of the theory of M. Jimbo, T. Miwa and K. Ueno can be relaxed. This allows to treat the case of systems with “coalescing” irregular singularities, namely irregular singularities at which the leading term of the Laurent expansion of the coefficients is diagonal but not with simple spectrum. As an application, I will show the computations of the monodromy data at points of the Maxwell stratum of the Frobenius structure defined on the base space of universal unfolding of the $A_3$singularity, and I will reinterpret them in terms of the associated algebraic solutions of Painlevé VI equation.
You are here
Deformations and Isomonodromic Deformations at an Irregular Singularity with Coalescing Eigenvalues
Giordano Cotti
Location:
A133
Schedule:
Friday, May 12, 2017  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
 The Boris Dubrovin Medal
Upcoming events

Andrea Ricolfi
Moduli of semiorthogonal decompositions
Tuesday, February 18, 2020  16:00

Andrew Newman
Enumeration problems on hypertrees
Tuesday, February 18, 2020  16:00

Giuliano Klun
Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinitedimensional tori
Friday, February 21, 2020  14:00

Andreas Bernig
Algebraic Integral Geometry
Monday, February 24, 2020  16:00
Today's Lectures

09:00 to 11:00

11:00 to 13:00

11:00 to 12:30

14:00 to 16:00
Recent publications

D. Riccobelli; G. Bevilacqua,Surface tension controls the o...

D. Agostinelli; R. Cerbino; J.C. Del Alamo; A. DeSimone; S. Höhn; C. Micheletti; G. Noselli; E. Sharon; J. Yeomans,MicroMotility: State of the ar...

M. Caponi; F. Sapio,A dynamic model for viscoelast...

A. Michelangeli; R. Scandone,PointLike Perturbed Fractiona...