ICTP forthcoming Mathematics Seminars (7 and 11 February)

[math]

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


Friday, 7 February, at 14:00 hrs

Jorge Antezana

(Instituto Argentino de Matematica, Buenos Aires,
and Universidad de La Plata)

"Symmetric GAF in de Branges spaces"

Abstract:
Given an orthonormal basis {e_n} in a de Branges space (a certain 
Hilbert space of entire functions), and i.i.d. random variables {a_n} 
with real normal distribution N(0,1), we consider the Gaussian Analytic 
Function:

F(z)=\sum_n a_n e_n(z).

In this talk, we will present some results on the distribution of the 
real zeroes of F(z). It is natural that this random set contains 
information about the underline Hilbert space. We will see that this 
information is enough to characterize, up to some nice isomorphism, the 
de Branges space. We will also show some partial results on the hole 
probability. We will pay special attention to the Paley-Wiener space, 
and the spaces associated to the Airy and Bessel functions, because 
these three spaces also appear in point processes related to random 
matrices.This talk is based on a joint work with  Jordi Marzo and 
Jan-Fredrik Olsen.

VENUE: L. Stasi Seminar Room, First floor, ICTP Leonardo Building

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Tuesday, 11 February, at 14:00 hrs

Leandro Vendramin
(Universidad de Buenos Aires)

"Nichols algebras and a combinatorial model for Schubert Calculus"

Abstract:
In 1995 Fomin and Kirillov proposed a combinatorial model for the 
cohomology ring (ordinary or quantum) of the flag manifold. In this
talk we review the construction of Fomin and Kirillov and show how
this combinatorial model for Schubert calculus intersect with the
theory of (braided) Hopf algebras.


VENUE: L. Stasi Seminar Room, First floor, ICTP Leonardo Building