The index theory of Fredholm operators

April 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.

Time: 14h30
Room: Sala Pedro Nunes do Departamento de Matemática.


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