Anne Marie AUBERT
Publications récentes
[New] On congruent isomorphisms for tori , avec Sandeep Varma, arXiv:2401.08306.
[New] Correspondences between affine Hecke algebras and applications , arXiv:2311.03203.
A nonabelian Fourier transform for tempered unipotent representations , avec Beth Romano et Dan Ciubotaru, to appear in Compositio Mathematica.
Bruhat-Tits buildings, representations of p-adic groups and Langlands correspondence , to appear in Journal of Algebra, Special Volume in the Memory of Jacques Tits.
Hecke algebras for p-adic reductive groups and Local Langlands Correspondence for Bernstein blocks , avec Yujie Xu, Advances in Mathematics, vol. 436, 2024.
Affine Hecke algebras for classical p-adic groups ,
avec Ahmed Moussaoui et Maarten Solleveld, arXiv:2211.08196.
The Explicit Local Langlands Correspondence for G2 , avec Yujie Xu, arXiv:2208.12391.
Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with appendix by Jessica Fintzen) , avec Roger Plymen, Journal of Number Theory, 233C (2022) 24-58. Online since July 2021, arXiv:2007.00946 .C*-blocks and crossed products for classical p-adic groups , avec Alexandre Afgoustidis, IMRN, 2021.Groupoids, Geometric Induction and Gelfand Models , avec Antonio Behn et Jorge Soto-Andrade, arXiv:2012.15384.Continuity of the Mackey-Higson bijection , avec Alexandre Afgoustidis, Pacific J. Math.(2021) no. 2, 257–273.Some aspects of the geometric structure of the smooth dual of p-adic groups , in Quantum Dynamics, Banach Center Publications, Vol. 120, Polish Acamey of Sciences Warszawa 2020.Morita equivalences for k-algebras , avec Paul Baum, Roger Plymen et Maarten Solleveld, in Quantum Dynamics, Banach Center Publications, Vol. 120, Polish Acamey of Sciences Warszawa 2020.Contribution to Celebratio Mathematica: Paul BaumSmooth duals of inner forms of GLn and SLn , avec Paul Baum, Roger Plymen et Maarten Solleveld, Doc. Math. 24 (2019), 373-420, arXiv:1505.04361 .Langlands and Springer correspondences, in Representations of Reductive p-adic Groups , International Conference, IISER, Pune, India, 2017, 1-37, Progr. Math. 328, Birkhäuser/Springer, Singapore, 2019. Graded Hecke algebras for disconnected reductive groups , avec Ahmed Moussaoui et Maarten Solleveld, pp. 23–84 in: Geometric aspects of the trace formula, W. Müller, S. W. Shin, N. Templier (eds.) Simons Symposia, Springer, 2018.Generalizations of the Springer correspondence and cuspidal Langlands parameters , avec Ahmed Moussaoui et Maarten Solleveld, Manuscripta Math. 157 (2018), 121-192, arXiv:1511.05335 .Around the Langlands Program, Jahresbericht der Deutschen Mathematiker-Vereinigung, 120 (2018), no. 1, 3–40.
Affine Hecke algebras for Langlands parameters , avec Ahmed Moussaoui et Maarten Solleveld, arXiv:1701.03593, Soumis à publication.The principal series of p-adic groups with disconnected center, avec Paul Baum, Roger Plymen et Maarten Solleveld, Proc. London Math. Soc. 114 (2017) 798-854, arXiv:1409.8110 .On L-packets and depth for SL(2,K) and its inner form , avec Roger Plymen, Sergio Mendes et Maarten Solleveld Int. J. Number Theory 13 (2017) 2545-2568.Hecke algebras for inner forms of p-adic special linear groups , avec Paul Baum, Roger Plymen et Maarten Solleveld, J. Inst. Math. Jussieu 16 (2017) 351-419, arXiv:1406.6861 .Conjectures about p-adic groups and their noncommutative geometry, avec Paul Baum, Roger Plymen et Maarten Sollevel, in Around Langlands Correspondences eds. Farrell Brumley, Maria Gómez Aparicio et Alberto Minguez, Contemporary Math. 691 (2017) 15-51, arXiv:1508.02837 . The local Langlands correspondence for inner forms of SL(n) , avec Paul Baum, Roger Plymen et Maarten Solleveld, Res. Math. Sci. (2016) 3:32 Geometric structure for the principal series of a split reductive p-adic group with connected centre , avec Paul Baum, Roger Plymen et Maarten Solleveld, J. Noncommut. Geom. 10 (2016), no. 2, 663-680.Depth and the local Langlands correspondence, avec Paul Baum, Roger Plymen et Maarten Solleveld, in Arbeitstagung Bonn 2013, In Memory of Friedrich Hirzebruch , eds. W. Ballmann, C. Blohmann, G. Faltings, P. Teichner, et D. Zagier, Progr. Math., 319, Birkhäuser/Springer, Cham, 2016, arXiv:1311.1606 . Howe correspondence and Springer correspondence for dual pairs over a finite field , avec Witold Kraskiewicz et Tomasz Przebinda, in Lie algebras, Lie superalgebras, vertex algebras and related topics eds. Kailash Misra, Raleigh, Daniel Nakano et Brian Parshall, 17-44, Proc. Sympos. Pure Math., 92, Amer. Math. Soc., Providence, RI, 2016.On the local Langlands correspondence for non-tempered representations , avec P. Baum, R. Plymen and M. Solleveld, Muenster J. Math 7 (Volume for the Iwasawa Conference for Peter Schneider’s birthday) (2014), pp. 27–50.A reverse engineering approach to the Weil representation , avec Tomasz Przebinda, Central European J. Math. 12 (2014), 1500–1585. Howe correspondence and Springer correspondence for real reductive dual pairs , avec Witold Kraskiewicz et Tomasz Przebinda, Manuscripta Mathematica 143 (2014), 81–130.