Menu:

Irreducibility of some spectral determinants


por el

Dr. Andrei Gabrielov

Purdue University

Resumen:
Eigenfunctions of the even quartic oscillator, i.e., Schrödinger operator with an even polynomial potential of degree four, are associated with certain properly embedded infinite planar trees. The braid group action on the trees helps us to understand the dependence of the eigenfunctions and the corresponding eigenvalues on the coefficients of the potential. In particular, we give a rigorous proof of the fact, discovered by Bender and Wu 40 years ago, that the spectral determinant of the even quartic oscillator has exactly two irreducible components. Similar results are obtained for several other one-parametric families of eigenvalue problems. This is joint work with A. Eremenko.

Miércoles 28 de mayo, 2014
18:00 hrs.
Salón 203, Edificio Anexo, IIMAS

Informes: coloquiomym@gmail.com, o al 5622-3564.