30th Applications of Computer Algebra - ACA 2025
Heraklion, Greece, July 14-18, 2025
NSC Session
NONCOMMUTATIVE SYMBOLIC COMPUTATION
Organizers:
Gérard H.E. DUCHAMP (Sorbonne University - Paris Nord, France)
Vincel HOANG NGOC MINH (University of Lille, France)
Hiroaki NAKAMURA (Osaka University, Japan)
Jianqiang ZHAO (The Bishop's School, USA)
Scope: Symbolic computation plays an important role in the study of many important functions and
their special values. By constructing noncommutative formal series based on words using these
symbols, one can often discover key properties of these functions and values in a uniform way. On the
other hand, noncommutative formal series can be considered as a generalization of language theory in
theoretical computer science. As the algorithms and combinatorics of these series are based on those of
words, these two fields naturally reinforce each other. They form an ideal framework for developing
software based on computer algebra systems with rigor and efficiency. In particular, they allow the
symbolic manipulation of several classes of special functions (such as Eulerian functions,
hypergeometric functions, hyperlogarithms, harmonic sums, etc.) and of special values involved in
solutions of differential equations.
We invite contributions with the following topics:
Combinatorial Indexing and Calculus
Ecalle's Mould Calculus
Free Lie Algebras
Hopf Algebras and Their Combinatorics
Noncommutative Differential Equations
Multiple Zeta Values (or Zeta Polymorphism) and Polylogarithms
Representative Series (Sweedler's duals and their combinatorics)
Call for abstracts: If you are interested in giving a talk, you can send a proposal with title and abstract
(2-3 pages) to both organizers of the session. Abstracts should be prepared using the ACM CCA format.
The deadline for the submission of an abstract is May 30th 2025. Abstracts will be reviewed as they
come in, so early submission is encouraged!
Speakers and Talks 1
(list in progress):
Olivier BOUILLOT
Title : Multiple Divided Bernoulli Polynomials and Numbers
(abstract) (slides)
V. Chiên BUI
Title : Various Products of Representative Series and Some Applications
(abstract) (slides)
Steven CHARLTON
Title : Goncharov's Programme, and Symmetries of Weight 6 Multiple Polylogarithms
(abstract) (slides)
Gérard H.E. DUCHAMP
Title : Extension by continuity of the domain of Poly- and Hyper-logarithms
(abstract) (slides)
Jean-Yves ENJALBERT
Title : Multiplicative structure of some multivariate functions
(abstract) (slides)
Vincel HOANG NGOC MINH
Title : Various bialgebras of representative functions on free monoids
(abstract) (slides)
Kouhei KITAMURA
Title : A Combinatorial Property of Multiple Polylogarithms at Non-positive Indices
(abstract) (slides)
Nao KOMIAYMA
Title : On Kashiwara-Vergne Lie Algebra and Double Shuffle Lie Algebra in Mould Theory
(abstract) (slides)
Q. Hoàn NGO
Title : Families of Eulerian Functions Involved in Regularization of Divergent Polyzetas
(abstract) (slides)
Vu NGUYEN DINH
Title : A Generalization of Magnus Duality
(abstract) (slides)
Jianqiang ZHAO
Title : Unramified Variants of Motivic Multiple Zeta Values
(abstract) (slides)
1Depending on circumstances, some people of the listed names may contribute only online.
