Scientific Organisers
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Mohamed Saidi, Exeter University
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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 | Noncongruence modular forms and the fundamental groups of punctured elliptic curves | |
| 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 |