Functional equations and combinatorics | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Functional equations and combinatorics

By Lucia Di Vizio

Appears in collection : 2024 - French computer algebra days / Journées nationales de calcul formel

Starting from a presentation of the many recent applications of Galois theory of functional equations to enumerative combinatorics, we will introduce the Galois theory of (different kinds) of difference equations. We will focus on the point of view of the applications, hence with little emphasis on the technicalities of the domain, but I'm willing to do an hour of « exercises » (i.e. to go a little deeper into the proofs), if a part of the audience is interested.

Information about the video

Date of recording 07/03/2024
Date of publication 25/03/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20149203
Cite this video Di Vizio, Lucia (07/03/2024). Functional equations and combinatorics. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20149203
URL https://dx.doi.org/10.24350/CIRM.V.20149203

Domain(s)

Bibliography

BOSTAN, Alin, DI VIZIO, Lucia, et RASCHEL, Kilian. Differential transcendence of Bell numbers and relatives: a Galois theoretic approach. arXiv preprint arXiv:2012.15292, 2020. - https://doi.org/10.48550/arXiv.2012.15292
DI VIZIO, Lucia, FERNANDES, Gwladys, et MISHNA, Marni. Inhomogeneous order 1 iterative functional equations with applications to combinatorics. arXiv preprint arXiv:2309.07680, 2023. - https://doi.org/10.48550/arXiv.2309.07680

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/3047/Slides/2024-JNCF-II-handout.pdf

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2025

Give feedback