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