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Home » Derived algebraic geometry and its applications

Workshop

Derived algebraic geometry and its applications March 25, 2019 - March 29, 2019
Registration Deadline: April 01, 2019 24 days ago
To apply for Funding you must register by: December 10, 2018 5 months ago
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers Dennis Gaitsgory (Harvard University), David Nadler (University of California, Berkeley), LEAD Nick Rozenblyum (University of Chicago), Peter Scholze (Universität Bonn), Brooke Shipley (University of Illinois at Chicago)
Speaker(s)

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Description
This workshop will bring together researchers at various frontiers, including arithmetic geometry, representation theory, mathematical physics, and homotopy theory, where derived algebraic geometry has had recent impact. The aim will be to explain the ideas and tools behind recent progress and to advertise appealing questions. A focus will be on moduli spaces, for example of principal bundles with decorations as arise in many settings, and their natural structures.    
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • moduli spaces

  • Derived Algebraic Geometry

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 has a 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. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

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 MSRI (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 25, 2019
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Characters of categorical representations: theory and applications
Constantin Teleman (University of California, Berkeley)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  TBA
Bhargav Bhatt (University of Michigan)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Dualizing spheres for p-adic analytic groups with applications to chromatic homotopy theory.
Vesna Stojanoska (University of Illinois at Urbana-Champaign)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Spectral Lie algebras and unstable homotopy theory
Gijs Heuts (Universiteit Utrecht)
Mar 26, 2019
Tuesday
09:30 AM - 10:30 AM
  Affine Beilinson-Bernstein at the critical level for GL_2
Sam Raskin (University of Texas, Austin)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Moduli of flat connections on smooth varieties
Tony Pantev (University of Pennsylvania)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Singular support for categories over a scheme
Dmytro Arinkin (University of Wisconsin-Madison)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  An arithmetic enrichment of the degree of a finite map, and applications to enumerative geometry
Kirsten Wickelgren (Georgia Institute of Technology)
04:30 PM - 06:20 PM
  Reception
Mar 27, 2019
Wednesday
09:30 AM - 10:30 AM
  p-adic K-theory and topological cyclic homology
Akhil Mathew (University of Chicago)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  On the K-theory of pullbacks
Georg Tamme (Universität Regensburg)
Mar 28, 2019
Thursday
09:30 AM - 10:30 AM
  Character Theory and Tempered Cohomology
Jacob Lurie (Harvard University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Arithmetic subloci of rank one local systems
Hélène Esnault (Freie Universität Berlin)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Geometrization of the local Langlands correspondence
Laurent Fargues (Institut de Mathématiques de Jussieu)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  TBA
Peter Scholze (Universität Bonn)
Mar 29, 2019
Friday
09:30 AM - 10:30 AM
  The Chern character and categorification
Sarah Scherotzke (Westfälische Wilhelms-Universität Münster)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  $K$-theory of division algebras over local fields
Lars Hesselholt (Nagoya University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Vanishing cycles, Bloch's conductor conjecture and non-commutative geometry
Gabriele Vezzosi (Università di Firenze)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Bokstedt periodicity and Bott periodicity
Dmitry Kaledin (V. A. Steklov Institute of Mathematics)