- the correponding set of slides of each lecture,
- a website which enable one to navigate inside the videos, in the same way you turn around the pages of a book. For example if you click on the time given just after the slide number corresponding to one of the videos, you will get, up to one second, to exact position in the video.
an introduction to the video-book ABjC is given at the beginning of the video of the Epilogue (from 2' 02" to 8' 42")
This video-book on bijective combinatorics is in four parts (or "volumes"), each part corresponds to a combinatorial course given at IMSc.
part I: An introduction to enumerative, algebraic and bijective combinatorics (January-March 2016)
part II: Commutations and heaps of pieces with interactions in physics, mathematics and computer science (January-March 2017)
part III: The cellular ansatz: bijective combinatorics and quadratic algebra (January-March 2018)
part IV: A combinatorial theory of orthogonal polynomials and continued fractions (January-March 2019)
A series of courses at two different levels
Each course can be followed independently. There are many overlaps between the differents courses. I gave these courses at two different levels at the same time. Most of the courses are supposed to be followed by good undergraduate students (at the Master level) and graduate students. I also gave some more advanced topics, opening some «windows» without proof, for graduate students, researchers and professors, in connection with active researches in combinatorics, and sometimes with connection in theoretical physics and computer science. Such sections are listed under the name «Complements». In this video-book their are some new results and also some new ways to present classical theory. These courses were followed by undergraduate and graduate students, together with some professors, in mathematics, physics and computer science, from IMSc and the neighbourless institutes in Chennai: CMI (Chennai Mathematical Institute) and IIT (Indian Institute of Technology) Madras.
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