June 18, 2018
4:00PM - 5:00PM
Math Tower 154
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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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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
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.