This semester, the Joint Math/Physics Seminar will focus on the various appearances of the Hitchin system in math/phys. Three specific and closely interrelated topics are: (1) Wall crossings (2) Geometric Langlands (3) Gaiotto dualities.

The organizational session will be Tuesday, Jan 31 at 1:30pm in DRL 3C8. We will discuss the material to be covered, and Wenxuan Lu will give an intro to wall crossings. If you are interested but cannot make the organizational meeting, please let us know.

Here are some of the works we have in mind:

(1) Wall crossings

Gaiotto, Moore, Neitzke, arXiv:0907.3987 Wall-crossing, Hitchin Systems, and the WKB Approximation

Gaiotto, Moore, Neitzke, arXiv:1006.0146 Framed BPS States

Gaiotto, Moore, Neitzke, arXiv:0807.4723 Four-dimensional wall-crossing via three-dimensional field theory

Gaiotto, Moore, Neitzke,arXiv:1103.2598 Wall-Crossing in Coupled 2d-4d Systems

Sergio Cecotti, Andrew Neitzke, Cumrun Vafa, arXiv:1006.3435 R-Twisting and 4d/2d Correspondences

Kontsevich, Soibelman, arXiv:0811.2435 Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

(2) Geometric Langlands

Kapustin, Witten, arXiv:hep-th/0604151 Electric-Magnetic Duality And The Geometric Langlands Program

Witten, arXiv:0802.0999 Mirror Symmetry, Hitchin's Equations, And Langlands Duality

Witten, arXiv:0905.2720 Geometric Langlands From Six Dimensions

Donagi, Pantev, arXiv:math/0604617 Langlands duality for Hitchin systems

(3) Gaiotto dualities

Gaiotto arXiv:0904.2715 N=2 dualities

Gaiotto Maldacena, arXiv:0904.4466 The gravity duals of N=2 superconformal field theories

Luis F. Alday, Davide Gaiotto, Yuji Tachikawa, arXiv:0906.3219 Liouville Correlation Functions from Four-dimensional Gauge Theories

Dimitri Nanopoulos, Dan Xie arXiv:0911.1990 Hitchin Equation, Singularity, and N=2 Superconformal Field Theories

Oscar Chacaltana, Jacques Distler, arXiv:1008.5203 Tinkertoys for Gaiotto Duality

Oscar Chacaltana, Jacques Distler, arXiv:1106.5410 Tinkertoys for the D_N series

Moore, Tachikawa, arXiv:1106.5698 On 2d TQFTs whose values are holomorphic symplectic varieties