Home /  Introductory Workshop: Higher Categories and Categorification

Workshop

Introductory Workshop: Higher Categories and Categorification February 10, 2020 - February 14, 2020
Registration Deadline: February 14, 2020 over 4 years ago
To apply for Funding you must register by: November 10, 2019 over 4 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers LEAD David Ayala (Montana State University), Emily Riehl (Johns Hopkins University), Christopher Schommer-Pries (University of Notre Dame), Peter Teichner (Max-Planck-Institut für Mathematik)
Speaker(s)

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Description
Image
relations among 2-morphisms in the 2-dimensional unoriented bordism bicategory
This workshop will survey notable developments and applications of higher category theory; it will be a venue for end-users to share their vision of how to apply the theory, as well as developers to share technical advancements.  It will consist of 6 series of 3 lectures, each given by instrumental end-users & developers of higher category theory, together with a few question-answer sessions.  Each lecture series will be tailored to a diverse audience, accessible to graduate students and non-expert researchers with some background in homological also algebra.  The content of these lecture series will concern the following topics. K-theory: categorification, non-commutative motives, trace methods;  TQFT: functorial field theories, factorization homology. Parametrized higher category theory: stratifications, equivariant homotopy theory, operads, deformation theory and Koszul duality.  Synthetic higher category theory: model-independent characterizations, cosmoi.  
Keywords and Mathematics Subject Classification (MSC)
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Feb 10, 2020
Monday
09:15 AM - 09:30 AM
  Welcome to MSRI
09:30 AM - 10:30 AM
  An introduction to categorification of quantum groups and link invariants - I
Aaron Lauda (University of Southern California)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Cobordism categories, classifying spaces and (invertible) TQFTs - I
Ulrike Tillmann (University of Oxford)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Crane-Yetter TFT, quantum groups and skein modules - I
Pavel Safronov (University of Edinburgh)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  An introduction to categorification of quantum groups and link invariants - II
Aaron Lauda (University of Southern California)
Feb 11, 2020
Tuesday
09:30 AM - 10:30 AM
  Cobordism categories, classifying spaces and (invertible) TQFTs II
Ulrike Tillmann (University of Oxford)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  An introduction to categorification of quantum groups and link invariants - III
Aaron Lauda (University of Southern California)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Crane-Yetter TFT, quantum groups and skein modules - II
Pavel Safronov (University of Edinburgh)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Crane-Yetter TFT, quantum groups and skein modules - III
Pavel Safronov (University of Edinburgh)
04:30 PM - 06:20 PM
  Reception
Feb 12, 2020
Wednesday
09:30 AM - 10:30 AM
  Categorifications and Lie algebra actions on categories arising from representation theory I
Catharina Stroppel (Rheinische Friedrich-Wilhelms-Universität Bonn)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Cobordism categories, classifying spaces and (invertible) TQFTs III
Ulrike Tillmann (University of Oxford)
Feb 13, 2020
Thursday
09:30 AM - 10:30 AM
  Categorifications and Lie algebra actions on categories arising from representation theory II
Catharina Stroppel (Rheinische Friedrich-Wilhelms-Universität Bonn)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Categorifications and Lie algebra actions on categories arising from representation theory III
Catharina Stroppel (Rheinische Friedrich-Wilhelms-Universität Bonn)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Synthetic ∞-Category Theory
Dominic Verity (Macquarie University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Higher categorical traces in geometric representation theory - I
Nick Rozenblyum (University of Toronto)
Feb 14, 2020
Friday
09:30 AM - 10:30 AM
  Synthetic ∞-Category Theory
Dominic Verity (Macquarie University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Synthetic ∞-Category Theory
Dominic Verity (Macquarie University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Higher categorical traces in geometric representation theory - II
Nick Rozenblyum (University of Toronto)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Higher categorical traces in geometric representation theory - III
Nick Rozenblyum (University of Toronto)