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Home » Subfactors: planar algebras, quantum symmetries, and random matrices

Summer Graduate School

Subfactors: planar algebras, quantum symmetries, and random matrices June 12, 2017 - June 23, 2017
Parent Program: --
Location: MSRI: Simons Auditorium, Commons Room
Organizers LEAD Scott Morrison (Australian National University), Emily Peters (Loyola University), Noah Snyder (Indiana University)
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Description
Lecture notes and homework problems are available at https://github.com/semorrison/msri-791/ Subfactor theory is a subject from operator algebras, with many surprising connections to other areas of mathematics. This summer school will be devoted to understanding the representation theory of subfactors, with a particular emphasis on connections to quantum symmetries, fusion categories, planar algebras, and random matrices. Suggested prerequisites: Knot theory (e.g. "The Knot Book", by Adams) Functional analysis (e.g. Hilbert spaces, some version of the spectral theorem, as in Stein and Shakarchi vol. 3 or the first three chapters of Conway's "A course in functional analysis") Representation theory of finite groups (e.g. character tables, as in the first third of Serre's "Linear Representations of Finite Groups" or the first chapter of Fulton and Harris "Representation theory") For eligibility and how to apply, see the Summer Graduate Schools homepage   Group Photo
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Tags/Keywords
  • subfactors

  • planar algebras

  • monoidal categories

  • tensor categories

  • random matrices

  • quantum symmetries

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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Schedule
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Jun 12, 2017
Monday
09:15 AM - 09:30 AM
  Introduction to MSRI
09:30 AM - 10:30 AM
  Lecture
Noah Snyder (Indiana University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Emily Peters (Loyola University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  TA Problem Session
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Discussion
Jun 13, 2017
Tuesday
09:30 AM - 10:30 AM
  Lecture
Emily Peters (Loyola University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Noah Snyder (Indiana University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  TA Problem Session
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Discussion
Jun 14, 2017
Wednesday
09:00 AM - 10:00 AM
  Lecture
Noah Snyder (Indiana University)
10:00 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Lecture
Emily Peters (Loyola University)
11:30 AM - 02:00 PM
  BBQ at Tilden Park
02:00 PM - 03:30 PM
  TA Problem Session
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Discussion
Jun 15, 2017
Thursday
09:30 AM - 10:30 AM
  Lecture
Emily Peters (Loyola University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Noah Snyder (Indiana University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  TA Problem Session
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Discussion
Jun 16, 2017
Friday
09:30 AM - 10:30 AM
  Lecture
Noah Snyder (Indiana University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Emily Peters (Loyola University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  TA Problem Session
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Discussion
Jun 19, 2017
Monday
09:30 AM - 10:30 AM
  Lecture
Dimitri Shlyakhtenko (University of California, Los Angeles)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Dimitri Shlyakhtenko (University of California, Los Angeles)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  TA Problem Session
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Discussion
Jun 20, 2017
Tuesday
09:30 AM - 10:30 AM
  Lecture
Noah Snyder (Indiana University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Dimitri Shlyakhtenko (University of California, Los Angeles)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  TA Problem Session
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Discussion
Jun 21, 2017
Wednesday
09:30 AM - 10:30 AM
  Lecture
Emily Peters (Loyola University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Dimitri Shlyakhtenko (University of California, Los Angeles)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 05:00 PM
  Free day
Jun 22, 2017
Thursday
09:30 AM - 10:30 AM
  Lecture
Dimitri Shlyakhtenko (University of California, Los Angeles)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Noah Snyder (Indiana University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  TA Problem Session
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Discussion
Jun 23, 2017
Friday
09:30 AM - 10:30 AM
  Lecture
Dimitri Shlyakhtenko (University of California, Los Angeles)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Emily Peters (Loyola University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  TA Problem Session
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Discussion