Noncommutative Geometry Seminar

Date: March 26, 2021

Time: 1:00PM - 2:00PM

Location: Zoom 951 5490 42

Speaker: Dan Voiculescu, University of California, Berkeley

Title: Around the Quasicentral Modulus

Abstract: The quasicentral modulus is a numerical invariant associated with a n-tuple of Hilbert space operators and a normed ideal of compact operators. It plays a key role in perturbations of n-tuples of operators and invariance of absolutely continuous spectra results. The talk will be about new results on the quasicentral modulus and commutants mod normed ideals. This will include exact formulas for the quasicentral modulus in fractional dimension and for hybrid perturbations. I will then talk about commutants mod normed ideals for compact differentiable manifolds with boundary and the K-theory exact sequence for their Calkin algebras for connected sums of manifolds.

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