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Workshop

(∞, n)-categories, factorization homology, and algebraic K-theory March 23, 2020 - March 27, 2020
Registration Deadline: March 27, 2020 about 1 month from now
To apply for Funding you must register by: January 01, 2020 about 2 months ago
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers LEAD Clark Barwick (University of Edinburgh), David Gepner (University of Melbourne), David Nadler (University of California, Berkeley), Marcy Robertson (University of Melbourne)
Speaker(s)

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Description
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This workshop will focus on recent developments in factorization homology, parametrized homotopy theory, and algebraic K-theory.  These seemingly disparate topics are unified by a common methodology, which leverages universal properties and unforeseen descent by way of higher category theory. Furthermore, they enjoy powerful and complementary roles in application to the cyclotomic trace.  This workshop will be a venue for experts in these areas to present new results, make substantive connections across fields, and suggest and contextualize outstanding questions and problems.  It will consist of 4 two-part lecture series and 10 one-hour talks. The lecture series will be given by Thomas Nikolaus, Akhil Mathew, David Ben-Zvi and a split Martina Rovelli and Viktoriya Ozornova.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Factorization homology

  • operads

  • algebraic K-theory

  • stratification

  • equivariant homotopy theory

  • higher category theory

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS 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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Mar 23, 2020
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Grothendieck--Witt theory - I
Thomas Nikolaus (Westfälische Wilhelms-Universität Münster)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Markus Land
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Lecture
Teena Gerhardt (Michigan State University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The Beilinson fiber square
Benjamin Antieau (University of Illinois, Chicago)
Mar 24, 2020
Tuesday
09:30 AM - 10:30 AM
  Grothendieck--Witt theory - II
Thomas Nikolaus (Westfälische Wilhelms-Universität Münster)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  p-adic K-theory and topological cyclic homology
Akhil Mathew (University of Chicago)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Lecture
Mona Merling (University of Pennsylvania)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Relative Geometric Langlands Duality - I
David Ben-Zvi (University of Texas, Austin)
04:30 PM - 06:20 PM
  Reception
Mar 25, 2020
Wednesday
09:30 AM - 10:30 AM
  Lie cohomology of vector fields, factorization algebras and modules
Benjamin Hennion
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  The motivic filtration on topological cyclic homology
Akhil Mathew (University of Chicago)
Mar 26, 2020
Thursday
09:30 AM - 10:30 AM
  Lecture
John Francis (Northwestern University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Claudia Scheimbauer (TU München)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Lecture
Martina Rovelli (Australian National University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Relative Geometric Langlands Duality - II
David Ben-Zvi (University of Texas, Austin)
Mar 27, 2020
Friday
09:30 AM - 10:30 AM
  Lecture
Xin Jin (Boston College)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Hiro Tanaka (Texas State University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Lecture
Viktoriya Ozornova (Ruhr-Universität Bochum)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Lecture
Rune Haugseng (Norwegian University of Science and Technology (NTNU))