(équipe CALIN du LIPN, université Paris-Nord, Villetaneuse)
Le 14 janvier 2020 à 11h00 en A108, Gérard Duchamp nous parlera de : Algebraic and analytic extensions of the characters Li and H (3/3)Résumé : The question of extension of (partially defined) operators is ubiquitous
in mathematics, physics and computer science. We will deal with it in general
and questions of renormalisation and regularisation of polyzetas, in particular
- Algebraic independence of certain conc-characters ("Stars of the Plane").
- Enlargement of indexations from polynomials to series (especially those who
allow a "calculus" i.e. rational ones).
- Downsampling Wrench's formula.
References
- In SLC 74 :
Van Chien Bui, Gérard H.E. Duchamp, Quoc Huan Ngô, Vincel Hoang Ngoc Minh and Christophe Tollu,
(Pure) Transcendence Bases in φ-Deformed Shuffle Bialgebras (22 pp.), SLC 74
- G. H. E. Duchamp and C. Tollu, Sweedler's duals and Schützenberger's calculus , In K. Ebrahimi-Fard, M. Marcolli and W. van Suijlekom (eds), Combinatorics and Physics, p. 67 - 78, Amer. Math. Soc. (Contemporary Mathematics, vol.~539), 2011.
- https://mathoverflow.net/questions/310354/independence-of-characters-with-respect-to-polynomials
- G.H.E. Duchamp, Ngo Quoc Hoan, Hoang Ngoc Minh,
Kleene stars of the plane, polylogarithms and symmetries, TCS, 800, 2019, 52-72,
DOI: 10.1016/j.tcs.2019.10.016
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