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Workshop

Introductory Workshop: Higher Categories and Categorification February 10, 2020 - February 14, 2020
Registration Deadline: February 14, 2020 over 3 years ago
To apply for Funding you must register by: November 10, 2019 over 3 years ago
Parent Program:
Location: MSRI: Simons 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)
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, 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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MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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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 Chicago)
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 Chicago)
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 Chicago)