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conference
25.09.06 28.09.06

Hopf Algebras, Combinatorics, and Quantum Field Theory

The intention of the meeting is to collect people working on the very recent subject of noncommutative symmetric functions, and combinatorial Hopf algebras, which special emphasis on applications in mathematical physics, that is in quantum field theory.
The meeting shall gather people from the combinatorics and physics communities to provide an exchange of techniques and ideas. Many interesting mathematical results wait for applications and some techniques of combinatorial quantum field theory are currently under development. It is expected that a wider range of people working on combinatorial Hopf algebras also is addressed.
The core of the meeting is formed by 4 lecture courses delivered by outstanding scientists of the particular field. These courses shall start from an medium level and may end at the recent research frontier, perhaps posing key problems to be solved in near future. The lecturers are:

  • Marcelo Aguiar, Texas A&M University
  • Jean Louis Loday, IRMA, Strasbourg
  • Arun Ram, University of Wisconsin-Madison, Wisconsin
  • Jean-Yves Thibon, Institut Gaspard Monge, Université Marne-la-Vallée

The lectures may also allow postgraduate students to become introduced to this fast developing and interesting research field.
Furthermore, we intend to offer a limited amount (maximally 12) of slots for contributed talks. These talks should address the mathematics/physics frontier and are intended to present recent research results. However, problems and algorithms are also welcome.

Program

09:00 - 10:00
Combinatorial Hopf Algebras: an outsider's survey:
Part one

10:15 - 10:30
10:30 - 11:30
Combinatorial Hopf algebras in the theory of symmetric functions:
Part one

11:45 - 12:30 Edward G. Effros (UCLA, Los Angeles, CA, USA)
12:45 - 15:00
15:00 - 16:00
16:15 - 16:30
16:30 - 17:15 Ron King (University of Southampton, Southampton, United Kingdom)
Branching rules, plethysms and Hopf algebras - some surprises
17:30 - 18:15 Loic Foissy (Université de Reimes, France)
Bidendriform Bialgebras
09:00 - 10:00
10:15 - 10:30
10:30 - 11:30
11:45 - 12:30 Manfred Schocker (University of Wales Swansea, Swansea, United Kingdom)
The twisted descent algebra and related Hopf algebras
12:45 - 15:00
15:00 - 16:00
16:15 - 16:30
16:30 - 17:15 Ralf Holtkamp (Ruhr-Universität Bochum, Germany)
Coassociative magmatic bialgebras and the Fine numbers
17:30 - 18:15 Christian Brouder (Université Pierre et Marie Curie, France)
Quantum field theory on bialgebras
09:00 - 10:00
Beyond Hopf algebras:
Part one

10:15 - 10:30
10:30 - 11:30
Hopf monoids in Species and associated Hopf algebras:
Part one

11:45 - 12:30 Nantel Bergeron (York University, Canada)
Coloring QSym and invariants of Fuss-Catalan Algebras
12:45 - 15:00
15:00 - 16:00
16:15 - 16:30
16:30 - 17:15 Kurusch Ebrahimi-Fard (IHES, France)
Locality, the beta function and the Dynkin idempotent
17:30 - 18:15 Frederic Menous (Université Paris Sud, Orsay, France)
Formulas for Birkhoff-(Rota-Baxter) decompositions related to connected bialgebra
09:00 - 10:00
10:15 - 10:30
10:30 - 11:30
11:45 - 12:30 William Schmitt (Washington University, USA)
12:45 - 15:00
15:00 - 16:00
16:15 - 16:30
16:30 - 17:15 Michael Hoffman (U.S. Naval Academy, Annapolis, MD, USA)
Quasi-symmetric functions and multiple zeta values
17:30 - 18:15 Vincel Hoang Ngoc Minh (University Lille 2, Lille, France)
Generalized Euler constants associated to divergent polyzêtas

Participants

Marcelo Aguiar

Texas A&M University, USA

Nantel Bergeron

York University, Canada

Riccardo Biagioli

Université Lyon I, France

Christian Brouder

Université Pierre et Marie Curie, France

Emily Burgunder

Université Montpellier 2, France

Frederic Chapoton

Université Lyon I, France

Kurusch Ebrahimi-Fard

IHES, France

Edward G. Effros

UCLA, USA

Bertfried Fauser

Max Planck Institute for Mathematics in the Sciences, Germany

Loic Foissy

Université de Reimes, France

Alessandra Frabetti

Université Lyon I, France

Partha Guha

Max Planck Institute for Mathematics in the Sciences, Germany

Istvan Heckenberger

University Leipzig, Germany

Vincel Hoang Ngoc Minh

University Lille 2, France

Michael Hoffman

U.S. Naval Academy, Annapolis, MD, USA

Ralf Holtkamp

Ruhr-Universität Bochum, Germany

Saifullah Khalid

School of Mathematical Sciences, GC University, Pakistan

Ron King

University of Southampton, United Kingdom

Govind Krishnaswami

Utrecht University, Netherlands

Jean Louis Loday

CNRS, Strasbourg, France

Mitja Mastnak

Ludwig-Maximilians-Universität München, Germany

Frederic Menous

Université Paris Sud, France

Robert Oeckl

Universidad Nacional Autónoma de México (UNAM), Mexico

Mario Paschke

Max Planck Institute for Mathematics in the Sciences, Germany

Frederic Patras

Université Nice, France

Arun Ram

University of Wisconsin-Madison, USA

Francesco Regonati

Università di Bologna, Italy

Maria Ronco

Universidad de Valparaiso, Chile

William Schmitt

Washington University, USA

Manfred Schocker

University of Wales Swansea, United Kingdom

Jean-Yves Thibon

Université de Marne-la-Vallée, France

Dmitri Vassilevich

University of Sao Paulo, Brazil

Rainer Verch

University of Leipzig, Germany

Eberhard Zeidler

Max Planck Institute for Mathematics in the Sciences, Germany

Organizers

Bertfried Fauser

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Alessandra Frabetti

Université Claude Bernard Lyon 1

Frank Sottile

Texas A&M University (TAMU)

Administrative Contact

Bertfried Fauser

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Regine Lübke

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail