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Wall Crossing, Quantum Integrable Systems, and TQFT: November 17 – 21, 2014

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

Please note* 
There is a banquet dinner on Wednesday November 19 – the price for to attend this dinner is $40.  You can register and pay to attend the banquet via this weblink:  http://www.brownpapertickets.com/event/933188
You may also pay for the banquet by visiting the SCGP Cafe on the 2nd Floor of the Simons Center for Geometry and Physics during normal cafe hours (12 – 2pm, weekdays).  Cash, Check, and Credit Cards are accepted at the register.  

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.

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