The algebraic geometry group will talk a bit about their research.

Algebraic geometry open house

Thu, Sep. 5 2:30pm (MATH 3…

Functional Analysis

Andrzej Sitarz (Jagiellonian University, Poland)

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I will review the construction of spectral functionals for finitely summable spectral triples, which in the classical, commutative case, provide metric, Einstein and torsion tensors. Further, I will discuss examples of these functionals over several well-known spectral triples, including spin manifolds, Hodge-de Rham, Einstein-Yang-Mills, almost-commutative two-sheeted space, conformally rescaled noncommutative tori, and the quantum SU(2) group. Based on a series of joint papers with Ludwik Dabrowski and Pawel Zalecki.