[Todos] Fwd: Charla del Prof. Carsten Trunk

[Mariela Portesi]

Reenvio charla en el Dpto de Matematica.

---------- Forwarded message ---------
De: Francisco Martinez Peria <francisco at mate.unlp.edu.ar>
Date: lun, 7 abr 2025 a la(s) 6:14 p.m.
Subject: Charla del Prof. Carsten Trunk
To: <all at mate.unlp.edu.ar>, Alumnos <alumnosm at gmail.com>, graduados <
grad at mate.unlp.edu.ar>, <docentes at mate.unlp.edu.ar>


Hola a todos,

Me complace invitarlos a la charla que dará el Prof.Carsten Trunk (TU
Ilmenau, Alemania). La misma será mañana, martes 8 de abril a las 16.00 hs,
en el aula 3 del Departamento.

El título de la charla es:

*Limit point and limit circle criteria for Sturm-Liouville operators with
complex coefficients*

The crucial role for the study of deficiency indices of real
Sturm-Liouville operators plays the classical result of H. Weyl (1910)
about limit point and limit circle classification. In fact, it
characterizes the number of L^2-solutions (one or two). It was extended by
A.R. Sims in 1957 and later by B.M. Brown et al. (1999) to the case of
Sturm-Liouville expression with complex coefficients. Here, we present a
collection of various criteria which allow us to decide to which class of
Sims’ scheme a given Sturm-Liouville problem with complex coefficients
belongs. This is subsequently applied to a second order differential
equation defined on a ray in the complex plane which is motivated by the
recent intensive research connected with PT -symmetric Hamiltonians in
non-hermitian Quantum Mechanics.

Saludos,
Francisco
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