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Workshop

Recent Developments in Noncommutative Algebraic Geometry April 08, 2024 - April 12, 2024
Registration Deadline: April 17, 2024 about 2 months ago
To apply for Funding you must register by: January 08, 2024 5 months ago
Parent Program:
Location: SLMath: Eisenbud Auditorium
Organizers Arend Bayer (University of Edinburgh), Graham Leuschke (Syracuse University), Alexander Polishchuk (University of Oregon), Susan Sierra (University of Edinburgh), Gregory Stevenson (Aarhus University), Špela Špenko (Université Libre de Bruxelles)
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Description
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Optical illusion staircase
This workshop will give an overview of recent developments in non-commutative algebraic geometry, including NC projective AG, NC resolutions, semiorthogonal decompositions, enhancements of derived categories, and connections to homological mirror symmetry, to enumerative AG, to moduli spaces and to birational geometry. It will in particular focus on speakers who have built new bridges between these topics. Bibliography
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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, 2024
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  On generalized Beauville decompositions
Junliang Shen (Yale University)
10:30 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Decomposing Derived Categories
Alicia Lamarche (University of Utah)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Categorical non-properness and categorical formal punctured neighborhoods of infinity in wrapped Floer theory
Sheel Ganatra (University of Southern California)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Noncommutative Balmer spectra and structure of monoidal triangulated categories
Milen Yakimov (Northeastern University)
Apr 09, 2024
Tuesday
09:30 AM - 10:30 AM
  Categorical absorption of singularities
Alexander Kuznetsov (V. A. Steklov Institute of Mathematics)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Moduli of complexes, shifted Poisson structure and positroid varieties
Zheng Hua (University of Hong Kong)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Quasi-flag manifolds and moment graphs
Yuri Berest (Cornell University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Derived microlocal geometry and virtual invariants
Tasuki Kinjo (Kyoto University)
04:30 PM - 06:20 PM
  Reception
Apr 10, 2024
Wednesday
09:30 AM - 10:30 AM
  Finite approximations as a tool for studying triangulated categories
Amnon Neeman (Universita degli Studi di Milano)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Subcategories of weakly approximable triangulated categories and uniqueness of enhancements
ALBERTO CANONACO (Università di Pavia)
Apr 11, 2024
Thursday
09:30 AM - 10:30 AM
  Perverse filtrations for Jacobian fibrations
Davesh Maulik (Massachusetts Institute of Technology)
10:30 AM - 10:35 AM
  Group Photo
10:35 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Filtered derived categories of curved deformations
Wendy Lowen (Universiteit Antwerpen)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Classification of noncommutative Hirzebruch surfaces
Izuru Mori (Shizuoka University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Blowing down noncommutative cubic surfaces
Shinnosuke Okawa (Osaka University)
Apr 12, 2024
Friday
09:15 AM - 10:15 AM
  Deformations of stability conditions
Emanuele Macri (Université Paris-Saclay)
10:15 AM - 10:45 AM
  Break
10:45 AM - 11:45 AM
  Non-commutative abelian surfaces and generalized Kummer varieties
Laura Pertusi (Universita degli Studi di Milano)
11:45 AM - 12:00 PM
  Break
12:00 PM - 01:00 PM
  N-spherical functors, categorification of Euler's continuants and periodic semi-orthogonal decompositions
Mikhail Kapranov (Kavli Institute for the Physics and Mathematics of the Universe )