MPHA Seminar, Friday 26 Oct, 1.50pm Blocker 627

Speaker: Anna Skripka, Texas A&M
Title: The Lifshits-Krein spectral shift function (SSF)

Abstract:
The SSF appeared first in 1952, in I.~M.~Lifshits's computation of
the change in the free energy of a crystal lattice due to the
occurrence of a defect at a single node (a perturbation of rank one).
Shortly after that, the SSF was brought into mathematical use by
M.~G.~Krein and, subsequently, the ``presence" of the SSF was
discovered in a number of abstract and concrete problems of the
spectral theory of perturbations. This talk will briefly discuss the
fundamental formula representations for the SSF revealing various
properties of this object.