|Introduction to the Eynard-Orantin invariants|
|Time：||【updated】Tue 13:00-14:50/Fri 10:10-12:00, 2015-05-29 ~ 2015-06-26(No classes on June 2/5)|
|Instructor：||Chiu-Chu Melissa Liu [Columbia University]|
|Place：||【updated】Conference Room 3, Floor 2, Jin Chun Yuan West Building|
In 2007, theoretical physicists B. Eynard and N. Orantin define an infinite sequence of invariants, now know as Eynard-Orantin invariants, for an arbitrary algebraic curve. These invariants are constructed to coincide with the topological expansion of a matrix formal integral when the curve is the large N limit of the matrix model's spectral curve. We will give an exposition of the work of Eynard-Orantin, and relate Eynard-Orantin invariants to intersection theory of moduli of stable curves and stable maps.
Basic theory of Riemann surfaces.