References AHGT

A selection of references on Motivic & Geometric Galois Representations in Arithmetic and Homotopic Galois Theory prior to 2023. For recent publications, see the AHGT publications overview.

2022

1. Ultraproduct Weil II for curves and integral models in compatible families of l-adic local systems

   by

   A. Cadoret.

   Jun 2022

   PrePrint
2. Ghosts in families of Abelian varieties with a common isogeny factor

   by

   A. Cadoret, and A. Tamagawa.

   In ,

   Jun 2022

   PrePrint
3. Ramified covers of abelian varieties over torsion fields

   by

   L. Bary-Soroker, A. Fehm, and S. Petersen.

   In arXiv e-prints,

   Jun 2022

   ArXiv
4. p-adic L-functions of Hilbert cusp forms and the trivial zero conjecture

   by

   D. Barrera, M. Dimitrov, and A. Jorza.

   In J. Eur. Math. Soc. (JEMS),

   Jun 2022
5. Monodromy of elliptic curve convolution, seven-point sheaves of G_2 type, and motives of Beauville type

   by

   B. Collas, M. Dettweiler, S. Reiter, and W. Sawin.

   In J. Reine Angew. Math.,

   Jun 2022
6. \mathbbQ_l- versus \mathbbF_l-coefficients in the Grothendieck-Serre-Tate conjectures

   by

   A. Cadoret, A. Tamagawa, and C. Hui.

   In ,

   Jun 2022

   PrePrint
7. G-cohomologically rigid local systems are integral

   by

   C. Klevdal, and S. Patrikis.

   In Trans. Amer. Math. Soc.,

   Jun 2022
8. Triangulated categories of logarithmic motives over a field

   by

   F. Binda, D. Park, and P. Østvær.

   In Astérisque,

   Jun 2022
9. Lifting and automorphy of reducible \rmmod p Galois representations over global fields

   by

   N. Fakhruddin, C. Khare, and S. Patrikis.

   In Invent. Math.,

   Jun 2022

2021

1. Geometric models for algebraic suspensions

   by

   A. Asok, A. Dubouloz, and P. Østvær.

   In arXiv e-prints,

   Dec 2021

   ArXiv
2. The Hilbert-Grunwald specialization property over number fields

   by

   J. König, and D. Neftin.

   In arXiv e-prints,

   Dec 2021

   ArXiv
3. Combinatorics of Serre weights in the potentially Barsotti-Tate setting

   by

   X. Caruso, A. David, and A. Mézard.

   In arXiv e-prints,

   May 2021

   ArXiv
4. A geometric view on Iwasawa theory

   by

   A. Betina, and M. Dimitrov.

   In J. Théor. Nombres Bordeaux,

   May 2021
5. p-adic étale cohomology of period domains

   by

   P. Colmez, G. Dospinescu, J. Hauseux, and W. Nizioł.

   In Math. Ann.,

   May 2021
6. The Betti side of the double shuffle theory. I. The harmonic coproducts

   by

   B. Enriquez, and H. Furusho.

   In Selecta Math. (N.S.),

   May 2021
7. Variations on a Tannakian Cebotarev density theorem

   by

   A. Cadoret, and A. Tamagawa.

   In ,

   May 2021

   PrePrint
8. Elliptic multizetas and the elliptic double shuffle relations

   by

   P. Lochak, N. Matthes, and L. Schneps.

   In Int. Math. Res. Not. IMRN,

   May 2021
9. Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations

   by

   N. Fakhruddin, C. Khare, and S. Patrikis.

   In Duke Math. J.,

   May 2021

2020

1. Universal mixed elliptic motives

   by

   R. Hain, and M. Matsumoto.

   In J. Inst. Math. Jussieu,

   May 2020
2. Homology of Hurwitz spaces and the Cohen-Lenstra heuristic for function fields [after Ellenberg, Venkatesh, and Westerland]

   by

   O. Randal-williams.

   In Astérisque,

   May 2020
3. La conjecture des compagnons [d’après Deligne, Drinfeld, L. Lafforgue, T. Abe, \ldots]

   by

   A. Cadoret.

   In Astérisque,

   May 2020
4. Integral and adelic aspects of the Mumford-Tate conjecture

   by

   A. Cadoret, and B. Moonen.

   In J. Inst. Math. Jussieu,

   May 2020
5. Category of mixed plectic Hodge structures

   by

   K. Bannai, K. Hagihara, S. Kobayashi, K. Yamada, S. Yamamoto, and S. Yasuda.

   In Asian J. Math.,

   May 2020

2019

1. Topological Hochschild homology and integral p-adic Hodge theory

   by

   B. Bhatt, M. Morrow, and P. Scholze.

   In Publ. Math. Inst. Hautes Études Sci.,

   May 2019
2. Genus of abstract modular curves with level-\ell structures

   by

   A. Cadoret, and A. Tamagawa.

   In J. Reine Angew. Math.,

   May 2019
3. An open adelic image theorem for motivic representations over function fields

   by

   A. Cadoret.

   In Math. Res. Lett.,

   May 2019
4. On the geometric image of \Bbb F_\ensuremath\ell-linear representations of étale fundamental groups

   by

   A. Cadoret, and A. Tamagawa.

   In Int. Math. Res. Not. IMRN,

   May 2019

2018

1. Deformation rings and parabolic induction

   by

   J. Hauseux, T. Schmidt, and C. Sorensen.

   In J. Théor. Nombres Bordeaux,

   May 2018
2. Un calcul d’anneaux de déformations potentiellement Barsotti-Tate

   by

   X. Caruso, A. David, and A. Mézard.

   In Trans. Amer. Math. Soc.,

   May 2018
3. Arithmetic of Elliptic Function Fields and Elliptic Convolution

   by

   B. Collas, M. Dettweiler, and S. Reiter.

   In Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups (Oberwolfach report),

   May 2018
4. p-adic geometry

   by

   P. Scholze.

   In Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018. Vol. I. Plenary lectures,

   May 2018
5. Derived Galois deformation rings

   by

   S. Galatius, and A. Venkatesh.

   In Adv. Math.,

   May 2018

2017

1. Around the Thom-Sebastiani theorem, with an appendix by Weizhe Zheng

   by

   L. Illusie.

   In Manuscripta Math.,

   May 2017
2. Moduli of Galois representations

   by

   Y. Taguchi.

   In Publ. Res. Inst. Math. Sci.,

   May 2017
3. Geometric monodromy—semisimplicity and maximality

   by

   A. Cadoret, C. Hui, and A. Tamagawa.

   In Ann. of Math. (2),

   May 2017

2016

1. p-adic L-functions for Hilbert modular forms

   by

   M. Dimitrov.

   In p-adic aspects of modular forms, World Sci. Publ., Hackensack, NJ.

   May 2016
2. A small remark on the filtered \varphi-module of Fermat varieties and Stickelberger’s theorem

   by

   G. Yamashita.

   In Tsukuba J. Math.,

   May 2016

2015

1. On some applications of integral p-adic Hodge theory to Galois representations

   by

   G. Yamashita, and S. Yasuda.

   In J. Number Theory,

   May 2015
2. On \ell-independency in families of motivic \ell-adic representations

   by

   A. Cadoret.

   In Manuscripta Math.,

   May 2015

2014

1. On congruences of Galois representations of number fields

   by

   Y. Ozeki, and Y. Taguchi.

   In Publ. Res. Inst. Math. Sci.,

   May 2014
2. The Riemann-Roch theorem without denominators in motivic homotopy theory

   by

   S. Kondo, and S. Yasuda.

   In J. Pure Appl. Algebra,

   May 2014
3. A geometric perspective on the Breuil-Mézard conjecture

   by

   M. Emerton, and T. Gee.

   In J. Inst. Math. Jussieu,

   May 2014
4. Elliptic associators

   by

   B. Enriquez.

   In Selecta Math. (N.S.),

   May 2014
5. Controlling the Galois images in one-dimensional families of \ell-adic representations

   by

   A. Cadoret, and A. Tamagawa.

   In J. Algebra,

   May 2014
6. The \ell-parity conjecture for abelian varieties over function fields of characteristic p>0

   by

   F. Trihan, and S. Yasuda.

   In Compos. Math.,

   May 2014
7. On varieties of Hilbert type

   by

   L. Bary-Soroker, A. Fehm, and S. Petersen.

   In Ann. Inst. Fourier (Grenoble),

   May 2014

2013

1. A generalization of a theorem of Imai and its applications to Iwasawa theory

   by

   Y. Kubo, and Y. Taguchi.

   In Math. Z.,

   May 2013
2. Models of the group schemes of roots of unity

   by

   M. Romagny, A. Mézard, and T. Tossici.

   In Ann. Institut Fourier,

   May 2013
3. Inverse problems for deformation rings

   by

   F. Bleher, T. Chinburg, and B. Smit.

   In Trans. Amer. Math. Soc.,

   May 2013
4. A uniform open image theorem for \ell-adic representations, II

   by

   A. Cadoret, and A. Tamagawa.

   In Duke Math. J.,

   May 2013
5. Klein approximation and Hilbertian fields

   by

   A. Fehm, and E. Paran.

   In J. Reine Angew. Math.,

   May 2013

2012

1. p-adic multiple zeta values, p-adic multiple L-values, and motivic Galois groups

   by

   G. Yamashita.

   In Galois-Teichmüller theory and arithmetic geometry, Math. Soc. Japan, Tokyo.

   May 2012
2. A uniform open image theorem for \ell-adic representations, I

   by

   A. Cadoret, and A. Tamagawa.

   In Duke Math. J.,

   May 2012
3. Local L and epsilon factors in Hecke eigenvalues

   by

   S. Kondo, and S. Yasuda.

   In J. Number Theory,

   May 2012

2011

1. Double shuffle relation for associators

   by

   H. Furusho.

   In Ann. of Math. (2),

   May 2011

2010

1. The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves

   by

   G. Cornelissen, F. Kato, and A. Kontogeorgis.

   In Israel J. Math.,

   May 2010
2. Rigid local systems and motives of type G_2

   by

   M. Dettweiler, and S. Reiter.

   In Compos. Math.,

   May 2010
3. The emerging p-adic Langlands programme

   by

   C. Breuil.

   In Proceedings of the International Congress of Mathematicians. Volume II,

   May 2010
4. Pentagon and hexagon equations

   by

   H. Furusho.

   In Ann. of Math. (2),

   May 2010