Application for workshop is now closed.
Organized by Anton Kapustin, Ludmil Katzarkov, Maxim Kontsevich, and Dmitri Orlov
Dates: November 17 – 21, 2014
Attendee ListDownload Talk ScheduleView Videos
Wall Crossing, Quantum Integrable Systems, and TQFT
Time | Title | Presenter | Video |
8:00am | Breakfast/Registration | SCGP Lobby and Cafe | |
9:00am | Geometry of cluster mutations | Kontsevich | video |
10:00am | Coffee Break | SCGP Cafe | |
10:15am | tt* Geometry and Twistorial Topological String | Vafa | video |
11:30am | Web formalism and the IR limit of 1+1 N=(2,2) QFT – or – A short ride with a big machine | Moore | video slides |
12:30pm | Lunch | SCGP Cafe | |
2:30pm | Gauge theory and q-characters | Pestun | video |
3:30pm | Tea | SCGP Cafe | |
4:00pm | Flat surfaces and stability in categories. | Haiden | video |
Time | Title | Presenter | Video |
8:00am | Breakfast | SCGP Cafe | |
9:00am | Perverse sheaves of categories with stabilities and wall-crossing formulas | Soibelman | video slides |
10:00am | Coffee Break | SCGP Cafe | |
10:15am | Windows, compactifications, and kernels | Ballard | video |
11:30am | Categorical base loci | Katzarkov | video |
12:30pm | Lunch | SCGP Cafe | |
1:45pm | Maximally-mutable Laurent polynomials | Kasprzyk | video |
2:30pm | Bridgeland stability conditions on the acyclic triangular quiver | Dimitrov | video |
3:30pm | Tea | SCGP Cafe | |
4:00pm | Comparing derived categories for various mirror constructions | Favero | video |
Time | Title | Presenter | Video |
8:00am | Breakfast | SCGP Cafe | |
9:00am | Lecture | Kapustin | video |
10:00am | Coffee Break | SCGP Cafe | |
10:15am | Buildings and spectral networks | Pandit | video |
11:30am | The universal building in an example | Noll | video |
12:30pm | Lunch | SCGP Cafe | |
2:30pm | Lagrangian tori in conic bundles and mirror symmetry for affine hypersurfaces | Auroux | video |
3:30pm | Tea | SCGP Cafe | |
4:00pm | Homological mirror symmetry for the punctured plane | Kerr | video |
6:00pm | Workshop Banquet Dinner | SCGP Cafe |
Time | Title | Presenter | Video |
8:00am | Breakfast | SCGP Cafe | |
9:00am | Wall crossing and family Floer homology | Fukaya | video slides |
10:00 | Coffee Break | SCGP Cafe | |
10:15am | Deformations of Calabi-Yau integrable systems | Pantev | video |
11:30am | Lecture | Abouzaid | video |
12:30pm | Lunch | SCGP Cafe | |
1:30pm | Noncommutative Local Monodromy Theorem | Vologodsky | video |
2:30pm | Applications of mirror symmetry to singularity theory | Horja | video |
3:30pm | Tea | SCGP Cafe | |
4:00pm | Math Colloquium | John Milnor | video |
5:00pm | Tracking the Cosmos Art Exhibition Closing Reception and Lecture | SCGP Gallery |
Time | Title | Presenter | Video |
8:00am | Breakfast | SCGP Cafe | |
9:00am | Lecture | Harder | video |
10:00am | Coffee Break | SCGP Cafe | |
10:15am | Gauge theory and qq-characters | Nekrasov | video |
11:30am | Gluing of Geometric Noncommutative Schemes and Finite-dimensional Algebras | Orlov | video |
12:30pm | Lunch | SCGP Cafe | |
2:30pm | The crepant transformation conjecture in the toric case | Iritani | video |
3:30pm | Tea | SCGP Cafe | |
4:00pm | Kernels for GIT | Diemer | video |
In the last five years several new directions based on applications of Homological Mirror Symmetry have emerged. The goal of this workshop is to disseminate and consolidate them. These directions are:
1. Studying the parallel between dynamical systems and category theory based on recent works by Kontsevich and Soibelman and Dimitrov, Haiden, Konstevich, Katzarkov.
2. Developing a geometric approach to stability conditions and moduli spaces of Landau Ginzburg models.
3. Understanding recent work on Landau Ginzburg models by Gaiotto Moore and Witte.
4. Developing theory of sheaves of categories over Lagrangian skeleta.
5. Understanding recent work of Gaiotto, Neitzke and Moore and Vafa in connection with Harmonic maps to buildings.
This workshop is a part of the Fall 2014 program, Gauge Theory, Integrability, and Novel Symmetries of Quantum Field Theory, which is organized by Anton Kapustin, Nikita Nekrasov, Samson Shatashvili, Volker Schomerus, and Konstantin Zarembo. This program takes place from September 2 – December 19, 2014.