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Noncommutative Algebraic Geometry and D-branes, 12/12/11-12/16/11

12-16 Dec 2011

The aim of the workshop is to present recent progress and pose new questions at the interface between algebraic geometry, noncommutative algebra, representation theory, and string theory.  The main topics will include noncommutative resolutions of singularities, superpotential and Calabi-Yau algebras, matrix factorizations, and the McKay correspondence.
Workshop organizers:
Charlie Beil, Michael Douglas, and Peng Gao

Paul Aspinwall, Raf Bocklandt, Ragnar-Olaf Buchweitz, Igor Burban, Nils Carqueville, Daniel Chan, Ben Davison, Victor Ginzburg, Sergei Gukov, Daniel Gulotta, Kentaro Hori, Akira Ishii, Johanna Knapp, Andrew Linshaw, Chien-Hao Liu, Irfan Mahmood, David Morrison, Sergey Mozgovoy, Alexander Quintero Velez, Mauricio Romo, Paul Smith, Richard Szabo, Kazushi Ueda, Chelsea Walton, Michael Wemyss 

Noncommutative Algebraic Geometry and D-branes Schedule

Monday 12/12 Tuesday 12/13 Wednesday 12/14 Thursday 12/15 Friday 12/16
9:00 – 9:50 Liu Azumaya noncommutative geometry and D-branes:  An origin of the master nature of D-branes [video]Lecture Slides DavisonMotivic DT-invariants for the one loop quiver with superpotential [video] Walton: Representation Theory of Three-Dimensional Sklyanin Algebras [video] Beil: Nonnoetherian geometry and inconsistent brane tilings [video] Quintero Velez: Noncommutative toric geometry and higher quivers [video]
10:10 – 11:00 Aspinwall: The (0,2) McKay Correspondence [video] GulottaMatrix Models and Operator Counting [video] Ueda: Dimer models and homological mirror symmetry [video] Hori: Phases of Calabi-Yau Categories [video] Chan: Singularities in the Mori program for orders.Lecture Slides


11:30 – 12:20 Burban: Tilting on non-commutative rational curves and the associated
singularity categories [video]
Wemyss: MMAs and the MMP [video]Lecture Notes MozgovoyRefined DT invariants and Kac conjecture [video] Knapp: Phases of non-abelian gauged linear sigma models [video] BuchweitzFree Divisors [video]
2:30 – 3:20 Ginzburg: Batalin- Vilkoviski structure on langrangian intersections [video] IshiiDimer models and crepant resolutions [video] Bocklandt: Noncommutative mirror symmetry for punctured surfaces [video] Morrison: Quivers from matrix factorizations. [video] Gukov: Branes, quantum groups, and strange duality [video]
4:00 – 4:50 CarquevilleTopological string theory from Landau-Ginzburg models[video]Lecture Slides 3:10 – 4:00 Smith : Three superpotential algebras and twisted homogeneous coordinate rings [video]
Romo: Monopole operators, moduli spaces and dualities in 3d CS matter theories [video]Lecture Slides Richard Szabo: Instantons and curve counting

Lecture Slides