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” and Hoshi-Mochizuki-Minamide,
the construction of arithmetic operads ”
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(参考)
https://www.mfo.de/occasion/2110a/www_view
The Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)
Homotopic and Geometric Galois Theory
7 Mar - 13 Mar 2021
ID: 2110a
Organizers
Benjamin Collas, Bayreuth
Pierre Dèbes, Villeneuve d'Ascq
Hiroaki Nakamura, Osaka
Jakob Stix, Frankfurt
Public Abstract https://www.mfo.de/document/2110a/Public-Abstract-2010a.pdf

Abstract
A fundamental idea in studying the absolute Galois group of a field is to make it act on geometric
objects such as Galois covers, étale cohomology groups and fundamental groups. The following
research topics emphasize this seminal idea: (a) Galois covers, G-torsors and their parametrizing
families, (b) motivic Galois representations, (c) anabelian towers of fundamental groups.
Striking advances have recently shed new light on the whole topic:

(c) in Anabelian Geometry: the successful introduction of methods from étale homotopy theory
(Schmidt-Stix) and from motivic A1-homotopy theory for moduli stacks of curves (Collas), the import
of operads (Fresse-Horel) which echo the Galois techniques of Pop and Hoshi-Mochizuki-Minamide,
the construction of arithmetic operads for Hurwitz moduli spaces (Westerland-Wickelgren).