From discrete surfaces and matrix models to topological recursions III
This is the third lecture in a series which will take place this semester each Friday 1-3pm
by Nicholas Orantin
Abstract: This lecture focuses on manipulating discrete surfaces and interpreting this in terms of matrix integrals. Random matrix models represent a wonderful tool in the enumeration of random discrete surfaces of given topology. These lectures will address three issues. I will first properly define the concept of formal matrix integral used to build generating functions of discrete surfaces. I will then show that the enumeration of all possible ways of removing one edge from such a surface gives a set of loop equations which can be solved by induction in terms of an algebraic curve characterizing the considered matrix model: the spectral curve.
For More Information: contact: Paul Norbury. email email@example.com