Topological Order Learning seminar

Spring 2022 (online)

This is a MIT learning seminar on topological orders.

The usual time for the seminar is Thursday 1:00 PM - 2:00 EST at MIT. We don't have a set meeting place but the Low's seminar room seems to be free. Here's a google doc for talks and topics and questions.

• • 9/242022
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  Organization meeting

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• • 9/312022
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  Lattice models, toric code, and anyons

  Prox

  Talks about lattice model and toric code, superselection sectors and anyons.

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• • 10/62022
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  Levin-Wen String net condensation.

  Group

  We will watch Michael Levin's CMSA talk on it on our own and then talk about it in the group meeting.

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• • 10/132022
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  SPT, anomalies, and bordisms

  Leon

  Leon will talk about classificiation of anomalies and SPT, starting from group chomology to bordism invariants.

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• • 10/202022
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  Higher form symmetries

  Sal

  Sal will talk about what higher form symmetries are and do the examples of 1-form symmetry in toric code.

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• • 10/272022
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  Anyon Condensation

  Cameron

  Cam will talk about Anyon condensation following Kong's paper, together with example from Kitaev-Kong.

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• • 11/32022
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  Band theory and Euler class

  Abby

  Abby will talk about the Euler topology of band structures and how it characterizes nonabelian Weyl nodes.

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• • 11/102022
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  Topological entanglement entropy

  Arkya

  On Topological entanglement entropy.

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• • 11/172022
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  Topological holographic duality

  Arkya

  Prep talk

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• • 11/312022
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  Dan Sandwich

  Leon

  Reviewed over Dan's CMSA talk on Dan's Sandwich.

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• • 12/82022
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  Automorphism of the Toric Code

  Cameron

  Talked about the Toric code, Honeycomb and how to get a family of gapped Hamiltonian that swaps e and m.

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• • 12/152022
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  Review

  Review the semester and started the list of ideas for next year.

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