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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 2008} This is the homepage for the UT Geometry and String Theory Seminar. \hypertarget{fall_2008_schedule}{}\subsection*{{Fall 2008 Schedule}}\label{fall_2008_schedule} This semester, we will cover several topics: \begin{enumerate}% \item Superconformal Boundary Conditions for N=4 Super Yang-Mills, and the connections with 3D Mirror Symmetry \item Kontsevich-Soibelman, Donaldson-Thomas Theory and Wall-Crossing Formul\ae{} for N=2 Supersymmetric Gauge Theories \item Developments in Rozansky-Witten Theory \end{enumerate} \begin{tabular}{r|l|l} Date&Speaker&Topic\\ \hline 9/3&Distler&Mirror Symmetry for 3D Gauge Theories\\ 9/10&Mautner&HyperKähler Manifolds\\ 9/17&Proudfoot&A Duality for HyperKähler Manifolds\\ 9/24&Freed&Rozansky-Witten\\ 10/1&Ben-Zvi&Kontsevich-Soibelman\\ 10/8&Neitzke&Four-dimensional wall-crossing via three-dimensional field theory\\ 10/15&Rozansky&Rozansky-Witten down to points\\ 10/22&Robbins&Superconformal Boundary Conditions for N=4 SYM\\ 10/29&Ben-Zvi&Kontsevich-Soibelman, Part 2\\ 11/5&Ben-Zvi&Kontsevich-Soibelman, Part 3\\ 11/12&?&?\\ 11/19&Chris Beasley&Localization for Wilson Loops in Chern-Simons Theory\\ 12/3&Arkani-Hamed&What is the Simplest Quantum Field Theory?\\ \end{tabular} \hypertarget{references}{}\subsubsection*{{References}}\label{references} \hypertarget{superconformal_boundary_conditions_for_n4_super_yangmills}{}\paragraph*{{Superconformal Boundary Conditions for N=4 Super Yang-Mills}}\label{superconformal_boundary_conditions_for_n4_super_yangmills} \begin{itemize}% \item Gaiotto and Witten, \href{http://arxiv.org/abs/0807.3720}{S-Duality of Boundary Conditions in N=4 Super Yang-Mills Theory} \item Gaiotto and Witten, \href{http://arxiv.org/abs/0804.2907}{Janus Configurations, Chern-Simons Couplings, and the Theta-Angle in N=4 Super Yang-Mills Theory} \item Gaiotto and Witten, \href{http://arxiv.org/abs/0804.2902}{Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory} \item Intriligator and Seiberg, \href{http://arxiv.org/abs/hep-th/9607207}{Mirror Symmetry in Three Dimensional Gauge Theories} \item Kapustin and Strassler, \href{http://arxiv.org/abs/hep-th/9902033}{On Mirror Symmetry in Three Dimensional Abelian Gauge Theories} \item de Boer, Hori, Ooguri and Oz , \href{http://arxiv.org/abs/hep-th/9611063v2}{Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes} \item Kronheimer and Nakajima, …œYang-Mills Instantons on ALE Gravitational Instantons,… Math. Ann. 288 (1990) 263. \item Braden, Licata, Proudfoot and Webster, \href{http://arxiv.org/abs/0806.3256}{Gale duality and Koszul duality} \end{itemize} \hypertarget{kontsevichsoibelman}{}\paragraph*{{Kontsevich-Soibelman}}\label{kontsevichsoibelman} \begin{itemize}% \item Gaiotto, Moore and Neitzke, \href{http://arxiv.org/abs/0807.4723}{Four-dimensional wall-crossing via three-dimensional field theory} \item Kontsevich, \href{http://www.mpim-bonn.mpg.de/preprints/send?bid=3352}{Donaldson-Thomas invariants} \item Kontsevich, lectures at Workshop on Homological Mirror Symmetry, U. of Miami, 1/08 (Notes by David Nadler)\begin{itemize}% \item \href{http://www.math.utexas.edu/~benzvi/GRASP/lectures/kontsevichmiami1.pdf}{Part 1} \item \href{http://www.math.utexas.edu/~benzvi/GRASP/lectures/kontsevichmiami2.pdf}{Part 2} \item \href{http://www.math.utexas.edu/~benzvi/GRASP/lectures/kontsevichmiami3.pdf}{Part 3} \end{itemize} \item Soibelman, Lecture on Donaldson-Thomas Invariants. (\href{http://www.math.utexas.edu/~benzvi/GRASP/lectures/soibelmanUT.pdf}{notes by David ben Zvi}) \item Bridgeland and Toledano-Laredo, \href{http://arxiv.org/abs/0801.3974}{Stability conditions and Stokes factors} \end{itemize} \hypertarget{rozanskywitten_theory}{}\paragraph*{{Rozansky-Witten Theory}}\label{rozanskywitten_theory} \begin{itemize}% \item Rozansky and Witten, \href{http://arxiv.org/abs/hep-th/9612216}{Hyper-Kähler Geometry and Invariants of Three-Manifolds} \item Kapranov, \href{http://arxiv.org/abs/alg-geom/9704009}{Rozansky-Witten invariants via Atiyah classes} \item Kontsevich, \href{http://arxiv.org/abs/dg-ga/9704009}{Rozansky-Witten invariants via formal geometry} \item Roberts and Willerton, \href{http://arxiv.org/abs/math/0602653}{On the Rozansky-Witten weight systems} \end{itemize} \hypertarget{chernsimons}{}\paragraph*{{Chern-Simons}}\label{chernsimons} \begin{itemize}% \item Beasley, Witten, \href{http://arxiv.org/abs/hep-th/0503126}{Non-Abelian Localization For Chern-Simons Theory} \end{itemize} \end{document}