ICTP Mathematics Seminar - Thursday 14 August 2014, at 14:30

[Math Group]

M A T H E M A T I C S   S E M I N A R S   2014

Thursday, 14 August, at 14.30 hrs.

Ilia Itenberg
(Institut de Mathématiques de Jussieu, Paris)

Title "Hurwitz numbers for real polynomials"

Abstract:
We introduce a signed count of real polynomials which gives rise to a 
real analog of Hurwitz numbers in the case of polynomials. The 
invariants obtained allow one to show the abundance of real solutions in 
the corresponding enumerative problems: in many cases, the number of 
real solutions is asymptotically equivalent (in the logarithmic scale) 
to the number of complex solutions.
This is a joint work with Dimitri Zvonkine.


Venue: Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)