The introduction of noncommutative metric information on C*-algebras opens the possibility to extend metric geometry to the realm of noncommutative geometry. In this talk, we will present an analogue of the Gromov-Hausdorff distance, called the Gromov-Hausdorff propinquity. The propinquity is a complete metric on a class of noncommutative Lipschitz algebras, induces the same topology as the Gromov-Hausdorff distance on classical compact metric spaces, yet also allows to give a precise meaning to such statements as fuzzy tori approximate quantum tori. Last, we will discuss a noncommutative generalization of a form of Gromov's compactness theorem. The talk will be a survey of these recent developments, and will only assume familiarity with basic C*-algebra notions. Please note Special Date,Time and Place!
The Dual Gromov-Hausdorff Propinquity Sponsored by the Meyer Fund
Mar. 04, 2015 4pm (MATH 220)
Grad Student Seminar
Sebastian Bozlee (CU-Boulder)
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A recurrence matrix is a matrix whose entries are sequential members of a linear homogeneous recurrence sequence. These matrices always have low rank. In this talk, we will explain what exactly the ranks are and why, how to correctly answer a question on your linear algebra final, and why pseudo-random numbers sometimes suck.
Ranks of matrices whose elements come from a recurrence relation