MFO-RIMS tandem workshop: Arithmetic homotopy and Galois theory. Abstracts from the MFO-RIMS tandem workshop held September 24--29, 2023

DOI10.4171/OWR/2023/42zbMATH Open1537.00019MaRDI QIDQ6544500

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Publication date: 27 May 2024

Published in: Oberwolfach Reports (Search for Journal in Brave)

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Rational points (14G05) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Proceedings, conferences, collections, etc. pertaining to number theory (11-06) Proceedings, conferences, collections, etc. pertaining to algebraic geometry (14-06) Collections of abstracts of lectures (00B05) Special algebraic curves and curves of low genus (14H45) Inverse Galois theory (12F12) Coverings of curves, fundamental group (14H30) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Proceedings, conferences, collections, etc. pertaining to field theory (12-06) Brauer groups of schemes (14F22) Formal methods and deformations in algebraic geometry (14D15) Proceedings, conferences, collections, etc. pertaining to algebraic topology (55-06) Sheaves in algebraic geometry (14F06) Homotopy theory (55Pxx)

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• Heilbronn characters
• Descent Obstruction and Fundamental Exact Sequence
• Integral moments of L-functions
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• Homotopy Obstructions to Rational Points
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• The density of discriminants of quartic rings and fields
• Profinite homotopy theory
• Théoremes de finitude en cohomologie galoisienne
• Good reduction of abelian varieties
• Über die Teilbarkeit der Dedekindschen Zetafunktionen.
• Multiple zeros of Dedekind zeta functions
• Arboreal Galois representations
• Dynamical Belyi maps and arboreal Galois groups
• Ramification of torsion points on a curve with superspecial reduction over an absolutely unramified base
• The Massey vanishing conjecture for number fields
• Combinatorics of Serre weights in the potentially Barsotti-Tate setting
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• \(p\)-adic Hodge theory for rigid-analytic varieties
• Tensor and homotopy criteria for functional equations of ℓ-adic and classical iterated integrals
• Triple Massey products vanish over all fields
• -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES – CORRIGENDUM
• The Fontaine-Mazur conjecture for $ {GL}_2$
• Braid monodromies on proper curves and pro-ℓ Galois representations
• Four-fold Massey products in Galois cohomology
• Cohomology of the Universal Smooth Cubic Surface
• Zeros and poles of Artin L-series
• Combinatorial geometries of field extensions
• The density of prime divisors in the arithmetic dynamics of quadratic polynomials
• Milnor K_2 and field homomorphisms
• Phi-modules and coefficient spaces
• Construction de représentations $p$-adiques
• The Galois Theory of Iterates and Composites of Polynomials
• Distribution of Discriminants of Abelian Extensions
• Projective Planes in Algebraically Closed Fields

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