In these lecture notes for the Les Houches School on Applications of Random Matrices in Physics we give an introduction to the connections between matrix models and topological strings. We first review some basic results of matrix model technology and then we focus on type B topological strings. We present the main results of Dijkgraaf and Vafa describing the spacetime string dynamics on certai...

1. The GL n (C) case The following fundamental example motivates the general case.

Madalina Croitoru, Rallou Thomopoulos. Representing and reasoning about different viewpoints: an agronomy application. ICCS’2009: 17th International Conference on Conceptual Structures: Conceptual Structures: Leveraging Semantic Technologies, Jul 2009, Moscow, Russia. Springer, 17th International Conference on Conceptual Structures, ICCS 2009, Moscow, Russia, July 26-31, 2009, pp.128-140, 2009,...

These lecture notes provide an introduction to orthogonal polynomials of several variables. It will cover the basic theory but deal mostly with examples, paying special attention to those orthogonal polynomials associated with classical type weight functions supported on the standard domains, for which fairly explicit formulae exist. There is little prerequisites for these lecture notes, a work...

Again the project should cover 1-2 papers. The project should summarize the findings of the paper. It should present some interesting result(s) from the paper in a format similar to the class lecture notes. You should also over a criticism (positive or negative) of the papers. It is ok to copy definitions and equations. No lower or upper bound on pages, but around 7 should be right. Office hour...

These are lecture notes for a lecture at the Simons Center for Geometry and Physics School on Mathematical Applications of Supersymmetric Yang Mills Theory, March 8, 2012

Preface These are lecture notes for a seminar series I gave at MIT in the fall of 2014. The notes are very rough, undoubtedly containing plenty of bugs and tpyos, but I hope people would find them useful nonetheless. (One particular area in which the notes are rough is that in most cases I mention papers and work in the text without providing a formal references.) The notes were made before the...