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Quantum Algebra & Quantum Topology Seminar - Michael Hartglass

Michael Hartglass
June 19, 2018
2:00PM - 3:00PM
Cockins Hall 240

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Add to Calendar 2018-06-19 14:00:00 2018-06-19 15:00:00 Quantum Algebra & Quantum Topology Seminar - Michael Hartglass Title: An introduction to noncommutative (free) probability Speaker: Michael Hartglass (Santa Clara University) Abstract: Free probability is a brand of analysis invented by Dan Voiculescu. In this framework, one can make sense of "positivity", and an "expectation value", but the "random variables" need not commute i.e. XY need not be the same as YX. Despite this obstacle, I will motivate the study of such a field with concrete examples, and I will give a survey of results which parallel the study of classical (commutative) probability. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: An introduction to noncommutative (free) probability

SpeakerMichael Hartglass (Santa Clara University)

Abstract: Free probability is a brand of analysis invented by Dan Voiculescu. In this framework, one can make sense of "positivity", and an "expectation value", but the "random variables" need not commute i.e. XY need not be the same as YX. Despite this obstacle, I will motivate the study of such a field with concrete examples, and I will give a survey of results which parallel the study of classical (commutative) probability.

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