#
Geometry and String Theory
Fall 2010

## Fall 2010 Schedule

Date | Speaker | Topic
--- | --- | ---
8/25 | The Organizers | Organizational Meeting
9/1 | Jacques | “Tinkertoys” for N=2 N=2 theories
9/8 | Oscar | Scattering amplitudes in N=4 N=4 SYM
9/15 | Aswin | Hirota equations and Quantum Integrable Systems
9/22 | Wilberth | 2D TFT
9/29 | Fernando Rodriguez Villegas | The dilogarithm function
10/6 | Jacob Bourjaily | The All-Loop S-Matrix of N=4 N=4 SYM (instructions included)
10/13 | Tim Perutz | Khovanov’s link homology theory
10/20 | Andy | Frobenius manifolds
10/27 | NOBODY | No talk this week
11/3 | NOBODY | No talk this week
11/10 | Anindya Dey | Localization and 3D Mirror Symmetry
11/17 | Anindya Dey | Localization and 3D Mirror Symmetry, continued
12/1 | Dan Freed | Quantization and complexification

### References

#### Gaiotto Duality

- D. Gaiotto, N=2 N=2 Dualities
- Chacaltana and Distler, Tinkertoys for Gaiotto Duality

#### Super Yang-Mills Amplitudes

- Arkani-Hamed, Bourjaily, Cachazo, Caron-Huot and Trnka, The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
- A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes
- Arkani-Hamed, Bourjaily, Cachazo and Trnka, Unification of Residues and Grassmannian Dualities
- Goncharov, Spradlin, Vergu and Volovich, Classical Polylogarithms for Amplitudes and Wilson Loops
- Wolf, Martin, A First Course on Twistors, Integrability and Gluon Scattering Amplitudes

#### Pestun Localization in 4 and 3 dimensions

- V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
- Kapustin, Willett and Yaakov, Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
- Kapustin, Willett and Yaakov, Nonperturbative Tests of Three-Dimensional Dualities

#### TBA, CFT, Y-system, dilog identities, Hirota Equations

- Al. B. Zamolodchikov, [Thermodynamic Bethe ansatz in relativistic models. Scaling three state Potts and Lee-Yang models], Nucl.Phys.B342:695-720, 1990.
- Al. B. Zamolodchikov, [On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories], Phys.Lett.B253:391-394, 1991.
- F. Gliozzi and R. Tateo, ADE functional dilogarithm identities and integrable models
- E. Frenkel and A. Szenes, Thermodynamic Bethe Ansatz and Dilogarithm Identities I
- B. Keller, The periodicity conjecture for pairs of Dynkin diagrams
- W. Nahm, Conformal field theory and torsion elements of the Bloch group
- D. Zagier, The dilogarithm function (version 2)
- I. Krichever, O.Lipan, P.Wiegmann, A. Zabrodin, Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations
- A. Zabrodin, Discrete Hirota’s equation in quantum integrable models

#### 2-dimensional topological field theory

- Quantum Fields and Strings: A Course for Mathematicians (Deligne et al.)
- Mirror Symmetry (Vafa et al.)
- Frobenius manifolds, quantum cohomology, and moduli spaces (Manin)
- D. Guzzetti, Stokes Matrices and Monodromy of the Quantum Cohomology of Projective Spaces
- K. Costello, Topological conformal field theories and Calabi-Yau categories

#### Renormalization of Yang-Mills

- K. Costello, Renormalization and Effective Field Theory

#### Volume conjecture for hyperbolic 3-manifolds

- H. Murakami, An Introduction to the Volume Conjecture
- S. Gukov, Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial

#### Quantization and complexification

- E. Witten, S. Gukov, Branes and quantization
- E. Witten, A new look at the path integral Of quantum mechanics
- S. Gukov, Quantization via mirror symmetry

Created on August 23, 2013 11:32:33 by Jacques Distler