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One goal of the workshop has been to take full advantage of the bridges betweenthe three topics, notably by considering the geometric and arithmetic higher sym-metries of the objects via homotopical methodsThe automorphisms of familiesat the 2-categorical level of Hurwitz and moduli stacks, and the higher cohomolog-ical obstructions to rationality are two successful examples of this approachTheintroductory talk referred to this quote by SLefschetz “It was my lot to plant theharpoon of algebraic topology into the body of the whale of algebraic geometry”.Taking over this mission for Arithmetic was inspirational for the workshop.

Table of Contents（目次）

Pierre D`ebesSpecialization and Localization in Inverse Galois Theory 1031
Benjamin CollasArithmetic and Homotopy of Moduli Stacks of Curves 1034
Michael D Friedℓ-adic representationa, the O(pen)I(mage)T(heorem) and the R(egular)I(nverse)G(alois)P(roblem) 1042
François LegrandLifting Problems and Specializations 1046
Hiroaki NakamuraSome Aspect of Arithmetic of Profinite Fundamental Groups 1049David HarariCohomological Obstructions over Function Fields 1051
Anna CadoretThe Fundamental Theorem of Weil II for Curves with UltraproductCoefficients 1052
Tomer Schlank (joint with Vesna Stojanoska)Brauer-Wall Group Poitou-Tate Sequence in Spectra and Zero Cycles 1056
Alexander Schmidt (joint with Jakob Stix)Anabelian Geometry with ´Etale Homotopy Types I 1057
Jakob Stix (joint with Alexander Schmidt)Anabelian Geometry with ´Etale Homotopy Types II 1059
Michael Dettweiler (joint with Benjamin Collas, Stefan Reiter)Arithmetic of Elliptic Function Fields and Elliptic Convolution 1061
Danny NeftinHilbert Irreducibility and Ritt Decompositions 1062
Olivier Wittenberg (joint with Yonatan Harpaz)Zero-cycles on Homogeneous Spaces and the Inverse Galois Problem 1063
Daniel Litt (joint with Alexander Betts)Canonical Paths on Algebraic Varieties 1066
Niels Borne (joint with Indranil Biswas)Tamely Ramified Torsors and Parabolic Bundles 1069
Joachim König (joint with François Legrand, Danny Neftin)Grunwald Problems and Specialization of Galois Covers 1071
Gereon Quick (joint with Michael JHopkins)Algebraic Cycles in Generalized Cohomology Theories 1074
Kirsten Wickelgren (joint with Craig Westerland)Operad Structure on π1-sections of Confn 1075
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