Home /  Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry

Workshop

Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry April 08, 2013 - April 12, 2013
Registration Deadline: April 08, 2013 over 11 years ago
To apply for Funding you must register by: January 08, 2013 almost 12 years ago
Parent Program:
Organizers Victor Ginzburg (University of Chicago), Iain Gordon (University of Edinburgh, UK), Markus Reineke (Bergische Universität Wuppertal, Germany), Catharina Stroppel* (University of Bonn, Germany), and James Zhang (University of Washington)
Speaker(s)

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Description
In recent years there have been increasing interactions between noncommutative algebra/representation theory on the one hand and algebraic geometry on the other. This workshop would aim to examine these interactions and, as importantly, to encourage the interactions between the three areas. The precise topics will become more precise nearer the time, but will certainly include: Noncommutative algebraic geometry Noncommutative resolutions of singularities and Calabi-Yau algebras Symplectic reflection and related algebras D-module theory Deformation-quantization Speakers: Konstantin Ardakov (Queen Mary, University of London) Gwyn Bellamy (University of Glasgow) Roman Bezrukavnikov (Massachusetts Institute of Technology) Raf Bocklandt (Newcastle University) Ken Brown (University of Glasgow) Ragnar Buchweitz (University of Toronto) Colin Ingalls (University of New Brunswick) Ivan Loseu (Northeastern University) Daniel Murfet (University of California, Los Angeles) David Nadler (University of California, Berkeley) Hiraku Nakajima (Kyoto University) Alexei Oblomkov (University of Massachusetts) Daniel Rogalski (University of California, San Diego) Raphaël Rouquier (University of California, Los Angeles) Peng Shan (Université de Caen) Susan Sierra (University of Edinburgh) Gonçalo Tabuada (Massachusetts Institute of Technology) Michel Van den Bergh (Universiteit Hasselt) Sarah Witherspoon (Texas A & M University) Milen Yakimov (Louisiana State University) Survey Link: https://docs.google.com/spreadsheet/viewform?usp=drive_web&formkey=dDhCYm5IMlVCYm5FTTBiM3lWZGt0V1E6MA#gid=0 Accommodation: A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate.  If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123.  Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.
Keywords and Mathematics Subject Classification (MSC)
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Secondary Mathematics Subject Classification
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 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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Apr 08, 2013
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Poincare-Birkhoff-Witt Theorems and group actions in positive characteristic
Sarah Witherspoon (Texas A & M University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Quantum cluster algebra structures on quantum nilpotent algebras
Milen Yakimov (Northeastern University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Centres of NCCRs are KLT
Colin Ingalls (Carleton University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Cluster algebras and singular supports of perverse sheaves
Hiraku Nakajima (Kavli Institute for the Physics and Mathematics of the Universe )
Apr 09, 2013
Tuesday
09:30 AM - 10:30 AM
  Noncommutative projective geometry through the looking glass
Raf Bocklandt
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Clifford actions on DG categories
Daniel Murfet (University of Melbourne)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The enveloping algebra of the Witt algebra is not noetherian
Susan Sierra (University of Edinburgh)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Classifying Orders in the Sklyanin Algebra
Daniel Rogalski (University of California, San Diego)
04:30 PM - 06:20 PM
  Reception
Apr 10, 2013
Wednesday
09:00 AM - 10:00 AM
  On Procesi bundles
Ivan Loseu (Northeastern University)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Noncommutative unipotent groups
Ken Brown (University of Glasgow)
11:30 AM - 12:30 PM
  Derived categories of Grassmannians in arbitrary characteristic (Michel Van den Bergh)
Apr 11, 2013
Thursday
09:30 AM - 10:30 AM
  Elliptic character sheaves (David Nadler)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Categorifications and Rational Cherednik Algebras
Peng Shan (Tsinghua University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Vanishing Cycles for Mirabolic D-modules
Gwyn Bellamy
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The McKay Correspondence for anti-canonically embedded Fano Varieties
Ragnar-Olaf Buchweitz (University of Toronto)
Apr 12, 2013
Friday
09:30 AM - 10:30 AM
  Rigid analytic quantisation and p-adic representations of p-adic Lie groups
Konstantin Ardakov (University of Oxford)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Noncommutative motives (Gonçalo Tabuada)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Cohomology of the elliptic Affine Springer Fibres and the rational Cherednik algebras (Alexei Oblomkov)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Noncommutative Hilbert schemes and stable pairs on elliptic curves (Roman Bezrukavnikov)