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)
Talk titles (abstracts, slides)
Schedule
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)
Talk Titles
Speakers and Talks
(Depending on circumstances, some people of the listed names may contribute only online)
:
Olivier BOUILLOT
Title : Multiple Divided Bernoulli Polynomials and Numbers
(
abstract
) (slides)
Van 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)
Quôc 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)
Schedule
14 July 2025.
Chairman: Vincel HOANG
NGOC MINH
17:00-17:30. Speaker: Jianqiang
ZHAO
17:30-18:00.
Speaker: Steven CHARLTON
18:00-18:30. Speaker: Vincel HOANG NGOC MINH
18:30-19:00. Speaker
(on line): Gérard H.E. DUCHAMP
16 July 2025.
Chairman: Jianqiang ZHAO
11:00-11:30. Speaker: Jean-Yves ENJALBERT
11:30-12:00. Speaker:
Olivier BOUILLOT
18 July 2025.
Chairman: Olivier BOUILLOT
09:00-09:30. Speaker (on line): Kouhei
KITAMURA
09:30-10:00.
Speaker (on line): Van Chiên BUI
10:00-10:30. Speaker (on line): Quôc Hoàn NGO (cancelled)
10:30-11:00. Pause
Chairman: Jean-Yves ENJALBERT
11:00-11:30. Speaker (on line): Vu NGUYEN DINH
11:30-12:00. Speaker (on line): Nao KOMIAYMA