Integrable Systems Seminar 18.11.15

[Boris Dubrovin]

Dear All,

The next seminar on Integrable Systems will take place on Wednesday, November 18
at 14:30 - 16:00, room 136 of SISSA Main Building

Speaker: Lorenzo Guglielmi

Title:  Introduction to Bernstein-Sato polynomials

Abstract:  Bernstein-Sato polynomials, introduced independently by
J. Bernstein (1971) and M. Sato ('60-'70), are polynomials defined
by certain functional equations involving the complex powers $f^s$ of
a (real-)analytic function $f$.  Their first application was to the
problem of meromorphic continuation of distributions, but they were
later discovered to be important also from the point of view of
singularity theory, starting from Malgrange's discovery of their
connection with the monodromy of vanishing cycles of the function.
The talk is intended to be an introductory survey of some classical
results in this field.