YoVDO

Counting Partitions by Genus

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Combinatorics Courses Graph Theory Courses Generating Functions Courses Topology Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the intricacies of counting set partitions by genus in this 49-minute lecture by Jean-Bernard Zuber from the Institut des Hautes Etudes Scientifiques (IHES). Delve into the revisited approach to partition counting, starting with the well-known case of genus 0 (non-crossing partitions). Learn how a functional equation between generating functions allows for the reconstruction of all partitions from the "(semi)-primitive" ones introduced by Cori and Hetyei. Examine explicit examples in genus 1 and 2, and if time permits, review known results and conjectures about higher genus. Reference two relevant papers for further study: Zuber's work on counting partitions by genus (genus 0 to 2) and a compendium of results co-authored with Robert Coquereaux.

Syllabus

Jean-Bernard Zuber - Counting partitions by genus


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

Related Courses

An Introduction to Functional Analysis
École Centrale Paris via Coursera
Nonlinear Dynamics 1: Geometry of Chaos
Georgia Institute of Technology via Independent
Topology in Condensed Matter: Tying Quantum Knots
Delft University of Technology via edX
Математика для всех
Moscow Institute of Physics and Technology via Coursera
Геометрия и группы
Moscow Institute of Physics and Technology via Coursera