COLOSS est un projet ANR financé par l' Agence Nationale de la Recherche pour la période 2019-2024.
- Abdellatif Ramla
- From p-modular to p-adic Langlands correspondences for U(1,1)(Qp2/Qp): deformations in the non-supercuspidal case, (with A. David, B. Romano, H. Wiersema,) to appear in Women in Numbers Europe III:
- Restriction of p-modular representations of p-adic groups to minimal parabolic subgroups RIMS Kokyuroku 2020
- Extensions between simple Iwahori-Hecke modules for SL(2,F) in natural characteristic (I) , preprint
- Berger Laurent
- On triangulable tensor products of B-pairs and trianguline representations (with G. Di Matteo), Int. J. Number Theory 17 (2021), no. 10, 2221--2233.
- Rigid character groups, Lubin-Tate theory, and (Phi,Gamma)-modules (with P. Schneider, B. Xie), Mem. Amer. Math. Soc. 263 (2020) no. 1275.
- The Weierstrass preparation theorem and resultants of p-adic power series, Munster J. of Math. 14 (2021), 155--163
- Substitution maps in the Robba ring, Ann. Math. Québec 46 (2022), no. 2, Special issue in honor of Bernadette Perrin-Riou, 289--302.
- Berger Laurent et Sandra Rozensztajn
- Decompletion of cyclotomic perfectoid fields in positive characteristic, Ann. H. Lebesgue 5 (2022), 1261--1276.
- Super-Holder vectors and the field of norms; preprint 2022
- Bijakowski Stéphane
- Hodge stratification in low ramification, preprint 2022
- Bijakowski Stéphane et Hernandez Valentin
- On the geometry of the Pappas-Rapoport models for PEL Shimura varieties à paraitre dans Journal of the Institute of Mathematics of Jussieu.
- Boyer Pascal
- Groupe mirabolique, stratification de Newton raffinée et cohomologie des espaces de Lubin-Tate, Bull. de la SMF tome 148 Fasc.1 pp1-23, 2020
- p-stabilization in higher dimension, J. Ramanujan Math. Soc. 35, No. 2, 191-199 (2020)
- Ihara's lemma and level raising in higher dimension, Journal de l'IMJ, pp 1-26 à 2021
- Local Ihara's lemma and applications IMRN 2021 pp 1-58
- La cohomologie des espaces de Lubin-Tate est libre. Duke Math. Journal 2022, pp 1-80
- Galois irreducibility implies cohomology freeness for KHT Shimura varieties, JEP 2023, pp1-32
- Fl-Galois semisimplicity and level raising, preprint 2021
- Accurate HT-geometric automrophic congruences Preprint 2022
- Brasca Riccardo
- Hida theory over some unitary Shimura varieties without ordinary locus (with Giovanni Rosso) Amer. J. Math. 143 (2021), no. 3.
- Cesnavicius Kestutis
- The A_inf-cohomology in the semistable case (withT. Koshikawa), Compos. Math., 155 (2019), no. 11, pp2039-2128.
- The Manin constant and the modular degree, (with M. Neururer, A. Saha), J. Eur. Math. Soc.
- Purity for flat cohomology (joint with Peter Scholze)
- Torsors on the complement of a smooth divisor,
- Torsors on loop groups and the Hitchin fibration (joint with Alexis Bouthier), Annales scientifiques de l'ENS, 55 (2022), no. 3, 791-864,
- Problems about torsors over regular rings (with an appendix by Yifei Zhao), Acta Mathematica Vietnamica, 47 (2022), no. 1, 39-107
- Grothendieck-Serre in the quasi-split unramified case, Forum of Mathematics, Pi, 10 (2022), e9, 30 pp
- Macaulayfication of Noetherian schemes, Duke Mathematical Journal, 170 (2021), no. 7, 1419-1455
- Grothendieck-Lefschetz for vector bundles, Algebraic Geometry, 7 (2020), no. 4, 503-511,
- Chenevier Gaetan, Taibi Olivier
- Siegel modular forms of weight 13 and the Leech lattice, L'Enseignement Mathématique (to appear).
- Discrete series multiplicities for classical groups over Z and level 1 algebraic cusp forms, Publ. Math. I.H.E.S. 131, 261-323 (2020)
- Statistics for Kneser p-neighbors (with an appendix by O. Taibi), Bull. Soc. Math. France 150 (3), 473-516 (2022).
- Chenevier Gaetan
- The characteristic masses of Niemeier lattices, Journal de Théorie des Nombres de Bordeaux 32, 545-583 (2020).
- Sur les minima des formes hamiltoniennes binaires définies positives (with F. Paulin),Publ. Math. Besançon, Alg. & Th. des Nombres, 5-25 (2020).
- Statistics for Kneser p-neighbors with an appendix by O. Taibi, arXiv link.
- Unimodular Hunting I, in preparation
- Unimodular Hunting II, in preparation
- Sur un énoncé de la lettre de Galois à Chevalier, preprint
- Colmez Pierre, Dospinescu Gabriel, Nizioł Wiesława
- Cohomologie des courbes analytiques p-adiques,, Cambridge J. Math. 10 (2022), 511-655
- p-adic étale cohomology of period domains (with Julien Hauseux), Math. Ann. 381 (2021), 105-180.
- Integral p-adic étale cohomology of Drinfeld symmetric spaces, Duke Math. J. 170 (2021), no. 3, 575 - 613.
- Cohomologie p-adique de la tour de Drinfeld: le cas de la dimension 1, J. Amer. Math. Soc. 33 (2020), 311-362.
- Cohomology of p-adic Stein spaces, Invent. Math. 219 (2020), no.3, 873-985.
- Correspondance de Langlands locale p-adique et anneaux de Kisin, preprint 2022
- Factorisation de la cohomologie étale p-adique de la tour de Drinfeld, preprint 2022
- Colmez Pierre, Nizioł Wiesława
- On the cohomology of p-adic analytic spaces, II: The Cst-conjecture, preprint, 57 pages, August 2021.
- On the cohomology of p-adic analytic spaces, I: The basic comparison theorem,, preprint, 67 pages, April 2021.
- On p-adic comparison theorems for rigid analytic varieties, I, Munster J. Math. 13 (2020) (Special Issue: In honor of Ch. Deninger), 445-507.
- On the cohomology of the affine space, p-adic Hodge Theory, Simons Symposia, Springer, 2020, 71-80.
- Dat Jean-Francois
- Moduli of Langlands parameters, avec D. Helm, R. Kurinczuk et G. Moss. (2020)
- Depth 0 representations over Z[1/p], avec Thomas Lanard (2022)
- Finiteness for Hecke algebras of p-adic groups, avec D. Helm, R. Kurinczuk et G. Moss. (2022)
- Local Langlands in Families, avec D. Helm, R. Kurinczuk et G. Moss. En préparation
- Essentially tame Z[1/p]-representations of p-adic groups. En préparation
- Dimitrov Mladen
- On the failure of Gorensteinness at weight 1 Eisenstein points of the eigencurve, (with Adel Betina and Alice Pozzi), to appear in Amer. J. Math.
- Geometry of the eigencurve at CM points and trivial zeros of Katz p-adic L-functions, (with Adel Betina), Adv. Math. 384 (2021).
- Uniform irreducibility of Galois action on the l-primary part of Abelian 3-folds of Picard type, (with Dinakar Ramakrishnan).
- Unramifiedness of weight one Hilbert Hecke algebras, (with Shaunak Deo and Gabor Wiese)
- On p-adic L-functions for GL(2n) in finite-slope Shalika families, (with Daniel Barrera and Chris Williams)
- Hernandez Valentin
- Families of coherent PEL automorphic forms. Preprint.
- The infinite fern in higher dimensions (avec Benjamin Schraen), preprint 2022
- Le Bras Arthur-César, Vezzani Alberto
- The de Rham-Fargues-Fontaine cohomology, Algebra and Number Theory 2022
- Le Bras Arthur-César
- Averaging functors in Fargues' program for GL_n (joint with Anschutz)
- The p-completed cyclotomic trace in degree 2 (joint with Anschutz)in Annals of K-theory 5-3 (2020).
- A Fourier transform for Banach-Colmez spaces (joint with Anschutz), preprint 2021.
- Prismatic Dieudonné theory (joint with Anschutz), Forum of Mathematics, Pi. Vol. 11. Cambridge University Press, 2023.
- v-vector bundles on p-adic fields and Sen theory via the Hodge-Tate stack, avec Johannes Anschutz et Ben Heuer, arxiv 2211.08470, 2023.
- Morel Sophie
- The four operations on perverse motives (with Florian Ivorra)
- A generalization of combinatorial identities for stable discrete series constants (with Richard Ehrenborg and Margaret Readdy; submitted)
- Sharing pizza in n dimensions (with Richard Ehrenborg and Margaret Readdy; submitted)
- Pizza and 2-structures (with Richard Ehrenborg and Margaret Readdy; submitted)
- Mixed l-adic complexes for schemes over number fields, preprint 2022
- Morrow Matthew
- Generalised representations as q-connections in integral p-adic Hodge theory (joint with Takeshi Tsuji), preprint 2020.
- Ngo Dac Tuan
- Ngo Dac Tuan
- On log-algebraic identities for Anderson t-modules and characteristic p multiple zeta values. (with Nathan Green), to appear in International Mathematics Research Notices (2023).
- A class formula for admissible Anderson modules (with Bruno Angles, Floric Tavares-Ribeiro), Inventiones Math., 2022, 229, pp.563--606.
- Zeta-like multiple zeta values in positive characteristic. (with Huy Hung Le), Math. Zeitschr., 2022, 301, pp.2037--2057.
- On Zagier-Hoffman's conjectures in positive characteristic.Annals of Mathematics, 2021, 194 (1), pp.361--392.
- with Yakov Varshavsky, On compactifications of stacks of shtukas. 2020 (preprint).
- Nizioł Wiesława
- Hodge Theory of p-adic varieties: a survey, preprint, 24 pages, May 2020, to appear in Annales Polonici Mathematici.
- On uniqueness of p-adic period morphisms, II , Compos. Math. 156 (2020), no. 9, 1915-1964.
- Pépin Cédric
- Constant term functors with F_p-coefficients, avec R. Cass, preprint (2021)
- Generic and Mod p Kazhdan-Lusztig Theory for GL_2, avec T. Schmidt, preprint (2020)
- Irreducible mod p Lubin-Tate (phi,Gamma)-modules, avec T. Schmidt, preprint (2019)
- Pilloni Vincent
- Higher Coleman Theory, avec G. Boxer
- Faisceaux equivariants et faisceaux automorphes, preprint 2022
- Rozensztajn Sandra
- On the locus of 2-dimensional crystalline representations with a given reduction modulo p. Algebra and Number Theory, Vol. 14 (2020), No. 3, 643--700.
- Avec Agnès David: Potentially semi-stable deformation rings for representations with values in PGLn, preprint 2022
- Stroh Benoît
- Taibi Olivier
- Global rigid inner forms vs isocrystals, with Tasho Kaletha preprint, submitted
- A Nomizu-van Est theorem in Ekedahl's derived l-adic setting, preprint 2022
- Tilouine Jacques
- Integral period relations and congruences, avec E. Urban, 44 pp, to appear in Algebra and Number Theory
- Simplicial Galois deformation functors avec Yichang Cai, 29 pp, to appear in {\it Perfectoid Spaces}, Proc. ICTS Conference, Bengaluru, eds. Debargha Banerjee , Kiran S. Kedlaya , Ehud de Shalit , Chitrabhanu Chaudhuri Springer, Singapore, 2022
- On the cohomology of GL(N) and adjoint Selmer groups, avec E. Urban, 49 pp, submitted
- avec E. Urban, Iwasawa-theoretic derived deformation rings and adjoint Selmer groups, preprint
- Vezzani Alberto
- The six-functor formalism for rigid analytic motives(joint with J. Ayoub and M. Gallauer), (Forum Math. Sigma 10 (2022), e61n, 1--182)
- avec Federico Binda, Hiroki Kato: On the p-adic weight-monodromy conjecture for complete intersections in toric varieties (Preprint arXiv:2207.00369 [math.AG])