Recent Advances in Anabelian Geometry and Related Topics

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Recent Advances in Anabelian Geometry and Related Topics

 28 Apr - 02 May 2025

Edinburgh Futures Institute

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Public Applications have now closed

Scientific Organisers

  • Mohamed Saidi, Exeter University
  • Leila Schneps, Institut de Mathematiques de Jussieu

About:

The aim of this workshop is to discuss the recent advances and new developments in the research area of anabelian geometry and the theory of arithmetic fundamental groups. This includes among others the newly discovered versions of the Grothendieck anabelian conjectures for hyperbolic curves and finitely generated fields, new results on the section conjecture, new developments in the theory of multizeta values, and the recent developments in combinatorial anabelian geometry  and Grothendieck-Teichmuller theory.

We aim to bring together experts in the field, as well as researchers who are interested in the theory of arithmetic fundamental groups and its applications, in order to discuss these developments and explore further research directions and possible applications.

Speakers

MONDAY 28 APRIL 2025
09.30 - 09.50 Registration and Refreshments, Edinburgh Futures Institute, Room 2.30
09.50 - 10.00 Welcome and Housekeeping
10.00 – 11.00 Akio Tamagawa , RIMS Kyoto $m$-step solvable anabelian geometry of finitely generated fields (joint work with Mohamed Saidi)
11.00 - 11.20 Refreshments
11.20-12.20 Yuichiro Hoshi , RIMS Kyoto On galois sections of hyperbolic polycurves over arithmetic fields
12.20 - 14.00 Lunch
14.00 - 15.00 Pierre Lochack, Paris The grothendieck-teichmüller group : past and present
15.00 - 15.20 Refreshments
15.20-16.20 Discussion session Anabelian geometry/section conjecture
16.30 - 17.30 Welcome Reception, hosted at EFI
TUESDAY 29 APRIL 2025
09.30 – 10.30 Shinichi Mochizuki , RIMS Kyoto Teichmüller dilations of varying hues: from complex teichmüller theory to iut to gt
10.30-11.00 Refreshments
11.00-12.00 Ulf Kuhn , Hamburg university Towards a coproduct for multiple q-zeta values
12.00 - 13.30 Lunch
13.30-14.30 Leila Schneps, Paris Canonical generators for the lie algebra associated to motivic multizeta values
14.30-15.00 Refreshments
15.00-16.00 Arata Minamide , RIMS Kyoto The outer automorphism groups of the profinite braid groups
16.15-17.15 Discussion session Grothendieck-Teichmuller group and theory
WEDNESDAY 30 APRIL 2025
09.30 – 10.30 Shota Tsujimura , RIMS Kyoto On the arithmeticity of the grothendieck-teichm\"{u}ller group
10.30-11.00 Refreshments
11.00-12.00 William Chen , University of Illinois Urbana-Champaign
12.00 Lunch and Free Afternoon
THURSDAY 1 MAY 2025
09.30 – 10.30 Discussion session (with Mochizuki and Tsujimura)
10.30-11.00 Refreshments
11.00-12.00 Hidakazu Furusho , Nagoya university The Betti side of the double shuffle group
12.00-13.30 Lunch
13.30-14.30 Mohamed Saidi , University of Exeter On the arithmeticity of the mapping class group
14.30-15.00 Refreshments
15.00-16.00 Yuichiro Hoshi, RIMS Kyoto On the galois orbit version of inter-universal teichmuller theory
16.15-17.15 Discussion Session Multi zeta values
19.00 Workshop Dinner, hosted at Blonde Restaurant, 75 St. Leonard’s Street, Edinburgh EH8 7QR
FRIDAY 2 MAY 2025
09.30 – 10.30 Lucas Dauger , Sorbonne university Paris An explicit formula for period polynomials of cusp forms
10.30-11.00 Refreshments
11.00-12.00 Yu Mao , University of Exeter The m-step solvable mono-anabelian geometry of number fields (joint work with Mohamed Saidi)
12.00 Packed Lunch and End of Workshop