The index theory of Fredholm operatorsApril 6, 2011 — University of Coimbra
|Speaker: Sir Michael Atiyah (about)|
Abstract: Fredholm operators are bounded operators in Hilbert space which, together with their adjoints, have a finite-dimensional null space. The index is the difference of the dimensions of these two null spaces, and is invariant under continuous perturbation. Fredholm operators arise naturally from elliptic differential operators, and the computation of the index is a classical problem.
I will discuss this story in general terms and give simple examples. I will also introduce a number of variations on the theme.
Room: Sala Pedro Nunes do Departamento de Matemática.
No videostreams have been published.