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Noncommutative Geometry Seminar - Ian Charlesworth

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June 18, 2018
4:00PM - 5:00PM
Math Tower 154

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Add to Calendar 2018-06-18 16:00:00 2018-06-18 17:00:00 Noncommutative Geometry Seminar - Ian Charlesworth Title: Non-crossing partitions and the combinatorics of free probability Speaker: Ian Charlesworth (University of California San Diego & University of California Berkeley) Abstract: Free probability was introduced in the 1980s by Voiculescu, with the aim of studying von Neumann algebras by viewing them as non-commutative probability spaces, and this analogy has proved quite powerful in operator algebra theory. In the 1990s, Speicher was able to describe free independence using cumulants constructed from the lattice of non-crossing partitions. In this expository talk I will introduce the free cumulants and show how they can be used to derive the free central limit theorem. Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Non-crossing partitions and the combinatorics of free probability

SpeakerIan Charlesworth (University of California San Diego & University of California Berkeley)

Abstract: Free probability was introduced in the 1980s by Voiculescu, with the aim of studying von Neumann algebras by viewing them as non-commutative probability spaces, and this analogy has proved quite powerful in operator algebra theory. In the 1990s, Speicher was able to describe free independence using cumulants constructed from the lattice of non-crossing partitions. In this expository talk I will introduce the free cumulants and show how they can be used to derive the free central limit theorem.

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