The Art of Bijective Combinatorics Part I** **

**An introduction to enumerative, algebraic and bijective combinatorics**

The Institute of Mathematical Sciences, Chennai, India (January-March 2016)

**Lectures related to the course**

**From a letter of Leonhard Euler ****to modern researches at the crossroad of ****algebra, geometry, combinatorics and physics**

K.Madhava Sarma Memorial Distinguished Lecture, CMI (Chennai Mathematical Institute, Chennai, India), 24 February 2016

slides (pdf, 42 Mo)

abstract:

In a letter to Goldbach in September 1751, Euler introduced the notion of triangulation of a convex polygon. These objects are enumerated by the ubiquitous and very classical Catalan numbers, which also enumerate trees, Dyck paths and many other combinatorial objects. I will show how some considerations on these triangulations have been the starting point of works on various related topics which are nowadays hot subjects of researches . This lecture is accessible to everyone.