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)
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.