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\newcommand{\toggle}[2]{#2} % Theorem Environments \theoremstyle{plain} \newtheorem{theorem}{Theorem} \newtheorem{lemma}{Lemma} \newtheorem{prop}{Proposition} \newtheorem{cor}{Corollary} \newtheorem*{utheorem}{Theorem} \newtheorem*{ulemma}{Lemma} \newtheorem*{uprop}{Proposition} \newtheorem*{ucor}{Corollary} \theoremstyle{definition} \newtheorem{defn}{Definition} \newtheorem{example}{Example} \newtheorem*{udefn}{Definition} \newtheorem*{uexample}{Example} \theoremstyle{remark} \newtheorem{remark}{Remark} \newtheorem{note}{Note} \newtheorem*{uremark}{Remark} \newtheorem*{unote}{Note} %------------------------------------------------------------------- \begin{document} %------------------------------------------------------------------- \section*{Fall 2010} \hypertarget{fall_2010_schedule}{}\subsection*{{Fall 2010 Schedule}}\label{fall_2010_schedule} \begin{tabular}{r|l|l} Date&Speaker&Topic\\ \hline 8/25&The Organizers&Organizational Meeting\\ 9/1&Jacques&``Tinkertoys'' for $N=2$ theories\\ 9/8&Oscar&Scattering amplitudes in $N=4$ 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 $N=4$ 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\\ \end{tabular} \hypertarget{references}{}\subsubsection*{{References}}\label{references} \hypertarget{gaiotto_duality}{}\paragraph*{{Gaiotto Duality}}\label{gaiotto_duality} \begin{itemize}% \item D. Gaiotto, \href{http://arxiv.org/abs/0904.2715}{$N=2$ Dualities} \item Chacaltana and Distler, \href{http://arxiv.org/abs/1008.5203}{Tinkertoys for Gaiotto Duality} \end{itemize} \hypertarget{super_yangmills_amplitudes}{}\paragraph*{{Super Yang-Mills Amplitudes}}\label{super_yangmills_amplitudes} \begin{itemize}% \item Arkani-Hamed, Bourjaily, Cachazo, Caron-Huot and Trnka, \href{http://arxiv.org/abs/1008.2958}{The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM} \item A. Hodges, \href{http://arxiv.org/abs/0905.1473}{Eliminating spurious poles from gauge-theoretic amplitudes} \item Arkani-Hamed, Bourjaily, Cachazo and Trnka, \href{http://arxiv.org/abs/0912.4912}{Unification of Residues and Grassmannian Dualities} \item Goncharov, Spradlin, Vergu and Volovich, \href{http://arxiv.org/abs/1006.5703}{Classical Polylogarithms for Amplitudes and Wilson Loops} \item Wolf, Martin, \href{http://arxiv.org/abs/1001.3871}{A First Course on Twistors, Integrability and Gluon Scattering Amplitudes} \end{itemize} \hypertarget{pestun_localization_in_4_and_3_dimensions}{}\paragraph*{{Pestun Localization in 4 and 3 dimensions}}\label{pestun_localization_in_4_and_3_dimensions} \begin{itemize}% \item V. Pestun, \href{http://arxiv.org/abs/0712.2824}{Localization of gauge theory on a four-sphere and supersymmetric Wilson loops} \item Kapustin, Willett and Yaakov, \href{http://arxiv.org/abs/0909.4559}{Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter} \item Kapustin, Willett and Yaakov, \href{http://arxiv.org/abs/1003.5694}{Nonperturbative Tests of Three-Dimensional Dualities} \end{itemize} \hypertarget{tba_cft_ysystem_dilog_identities_hirota_equations}{}\paragraph*{{TBA, CFT, Y-system, dilog identities, Hirota Equations}}\label{tba_cft_ysystem_dilog_identities_hirota_equations} \begin{itemize}% \item Al. B. Zamolodchikov, Thermodynamic Bethe ansatz in relativistic models. Scaling three state Potts and Lee-Yang models, Nucl.Phys.B342:695-720, 1990. \item Al. B. Zamolodchikov, On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories, Phys.Lett.B253:391-394, 1991. \item F. Gliozzi and R. Tateo, \href{http://arxiv.org/abs/hep-th/9411203}{ADE functional dilogarithm identities and integrable models} \item E. Frenkel and A. Szenes, \href{http://arxiv.org/abs/hep-th/9506215}{Thermodynamic Bethe Ansatz and Dilogarithm Identities I} \item B. Keller, \href{http://arxiv.org/abs/1001.1531}{The periodicity conjecture for pairs of Dynkin diagrams} \item W. Nahm, \href{http://arxiv.org/abs/hep-th/0404120}{Conformal field theory and torsion elements of the Bloch group} \item D. Zagier, \href{http://mathlab.snu.ac.kr/~top/articles/zagier.pdf}{The dilogarithm function (version 2)} \item I. Krichever, O.Lipan, P.Wiegmann, A. Zabrodin, \href{http://arxiv.org/abs/hep-th/9604080}{Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations} \item A. Zabrodin, \href{http://arxiv.org/abs/hep-th/9610039}{Discrete Hirota's equation in quantum integrable models} \end{itemize} \hypertarget{2dimensional_topological_field_theory}{}\paragraph*{{2-dimensional topological field theory}}\label{2dimensional_topological_field_theory} \begin{itemize}% \item Quantum Fields and Strings: A Course for Mathematicians (Deligne et al.) \item Mirror Symmetry (Vafa et al.) \item Frobenius manifolds, quantum cohomology, and moduli spaces (Manin) \item D. Guzzetti, \href{http://arxiv.org/abs/math/9904099}{Stokes Matrices and Monodromy of the Quantum Cohomology of Projective Spaces} \item K. Costello, \href{http://arxiv.org/abs/math/0412149}{Topological conformal field theories and Calabi-Yau categories} \end{itemize} \hypertarget{renormalization_of_yangmills}{}\paragraph*{{Renormalization of Yang-Mills}}\label{renormalization_of_yangmills} \begin{itemize}% \item K. Costello, \href{http://www.math.northwestern.edu/~costello/renormalization}{Renormalization and Effective Field Theory} \end{itemize} \hypertarget{volume_conjecture_for_hyperbolic_3manifolds}{}\paragraph*{{Volume conjecture for hyperbolic 3-manifolds}}\label{volume_conjecture_for_hyperbolic_3manifolds} \begin{itemize}% \item H. Murakami, \href{http://arxiv.org/abs/1002.0126}{An Introduction to the Volume Conjecture} \item S. Gukov, \href{http://arxiv.org/abs/hep-th/0306165}{Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial} \end{itemize} \hypertarget{quantization_and_complexification}{}\paragraph*{{Quantization and complexification}}\label{quantization_and_complexification} \begin{itemize}% \item E. Witten, S. Gukov, \href{http://arxiv.org/abs/0809.0305}{Branes and quantization} \item E. Witten, \href{http://arxiv.org/abs/1009.6032}{A new look at the path integral Of quantum mechanics} \item S. Gukov, \href{http://arxiv.org/abs/1011.2218}{Quantization via mirror symmetry} \end{itemize} \end{document}