Grothendieck-Teichmüller theory and multiple zeta values

Workshop theme

Grothendieck-Teichmüller theory was day dreamt (as 'Galois-Teichmüller theory') by Grothendieck in his Longue Marche à travers la théorie de Galois and Esquisse d'un programme. It was then 'pioneered' by Y. Ihara and V.G. Drinfel'd whose famous 1989 paper fits especially well into the overall theme of this programme since it introduces a novel form of 'universal' deformation theory. The same year P. Deligne explained in his equally famous paper on the thrice punctured projective line the connection between Grothendieck-Teichmüller theory, Multiple Zeta Values and mixed Tate motives.

It should be noted however that in the mind of Grothendieck himself, 'Galois-Teichmüller' theory was not supposed to be exclusively or even primarily motivic, extending in particular to the consideration of moduli stacks of curves of any genus.

The workshop will also be an opportunity for discussing this more topological side of the theory, along with the elliptic (genus 1) theory for Polylogarithms and their special values which currently features the 'frontier' case of the motivic side of the theory.

This overly compressed historical introduction can help make sense of the following incomplete list of the themes which this workshop will touch upon:

Associator and double shuffle relations.
Mixed Tate motives and motivic fundamental groups.
Mixed Hodge structures and fundamental groups.
Polylogarithms and variations of mixed Hodge structures.
Grothendieck-Teichmüller theory in a motivic framework.
Functional equations of polylogarithms and K-theory.
Elliptic polylogarithms and their special values.
Grothendieck-Teichmüller theory: higher genus.

The application is closed

Timetable

Monday 8th April 2013
09:00 to 09:25	Registration	No Room Required
09:25 to 09:30	Welcome from INI Director, Christie Marr	No Room Required
09:30 to 10:30	Anton Alekseev Observatoire Astronomique de l'Universite de Geneve Divergence and super-divergence cocycles on the Grothendieck-Teichmueller Lie algebra	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 12:00	David Broadhurst The Open University Honorary MZVs and modular forms	Room 1
12:15 to 13:15	Lunch at Wolfson Court	No Room Required
13:30 to 14:30	Benoit Fresse Université Lille 1 Towards higher dimensional analogues of the torsor of Drinfeld's associators	Room 1
14:30 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:00	Ivan Horozov Washington University in St. Louis Multiple Dedekind Zeta Functions	Room 1
16:30 to 17:30	Ivan Marin Université d'Amiens Associators and representations of braids	Room 1
17:30 to 19:00	Wine Reception & Poster session	No Room Required

Tuesday 9th April 2013
09:30 to 10:30	Michael Edward Hoffman U.S. Naval Academy Multiple zeta values and quasi-symmetric functions	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 12:00	Yasuo Ohno Kindai University On multiple zeta-star values	Room 1
12:15 to 13:15	Lunch at Wolfson Court	No Room Required
13:30 to 14:30	Sinan Ünver Koç University Cyclotomic p-adic multi-zeta values	Room 1
14:30 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:00	Sheldon Joyner Brandeis University A shuffle product formula for generalized iterated integrals	Room 1
17:00 to 18:00	Don Zagier Max-Planck-Institut für Mathematik, Bonn RVP Lecture: From modular forms to finite groups	Room 1
18:00 to 19:00	RVP Wine Reception	No Room Required

Wednesday 10th April 2013
09:00 to 10:00	Dick Hain Duke University Higher Genus Polylogarithms	Room 1
10:00 to 10:30	Morning Coffee	No Room Required
10:30 to 11:30	Clément Dupont Institut de Mathématiques de Jussieu The Hopf algebra of dissection polylogarithms	Room 1
11:45 to 12:45	Aaron Pollack Princeton University Periods of modular forms and relations in the fundamental Lie algebra of Universal Mixed Elliptic Motives	Room 1
12:45 to 13:30	Lunch at Wolfson Court	No Room Required

Thursday 11th April 2013
09:30 to 10:30	Francis Brown IHES Anatomy of the motivic Lie algebra	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 12:00	Stephan Stieberger Max-Planck-Institut für Physik, München Motivic Superstring Amplitudes	Room 1
12:15 to 13:15	Lunch at Wolfson Court	No Room Required
13:30 to 14:30	Oliver Schnetz Friedrich-Alexander-Universität Erlangen-Nürnberg Proof of the zig-zag conjecture	Room 1
14:30 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:00	Oliver Schlotterer University of Cambridge Polylogarithms, Multiple Zeta Values and Superstring Amplitudes	Room 1
19:30 to 22:00	Conference Dinner at Corpus Christi College	No Room Required

Friday 12th April 2013
09:30 to 10:30	Leila Schneps Institut de Mathématiques de Jussieu Elliptic Grothendieck-Teichmueller theory	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 12:00	Yuichiro Hoshi Kyoto University Grothendieck-Teichmuller Groups in the Combinatorial Anabelian Geometry	Room 1
12:15 to 13:15	Lunch at Wolfson Court	No Room Required
13:30 to 14:30	Hidekazu Furusho Nagoya University On multiple L-functions and their p-adic analogues	Room 1
14:30 to 15:00	Afternoon Tea	No Room Required

Grothendieck-Teichmüller groups, deformation and operads

Grothendieck-Teichmüller theory and multiple zeta values

Speakers

Anton Alekseev Observatoire Astronomique de l'Universite de Geneve
David Broadhurst The Open University
Francis Brown IHES
Clément Dupont Institut de Mathématiques de Jussieu
Benoit Fresse Université Lille 1
Hidekazu Furusho Nagoya University
Dick Hain Duke University
Michael Edward Hoffman U.S. Naval Academy
Ivan Horozov Washington University in St. Louis
Yuichiro Hoshi Kyoto University
Sheldon Joyner Brandeis University
Ivan Marin Université d'Amiens
Yasuo Ohno Kindai University
Aaron Pollack Princeton University
Oliver Schlotterer University of Cambridge
Leila Schneps Institut de Mathématiques de Jussieu
Oliver Schnetz Friedrich-Alexander-Universität Erlangen-Nürnberg
Stephan Stieberger Max-Planck-Institut für Physik, München
Don Zagier Max-Planck-Institut für Mathematik, Bonn
Sinan Ünver Koç University

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Grothendieck-Teichmüller theory and multiple zeta values

Workshop theme

The application is closed

Timetable

Speakers

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