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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Farang-Hariri, Banafsheh 2016. GEOMETRIC TAMELY RAMIFIED LOCAL THETA CORRESPONDENCE IN THE FRAMEWORK OF THE GEOMETRIC LANGLANDS PROGRAM. Journal of the Institute of Mathematics of Jussieu, Vol. 15, Issue. 03, p. 625.


    Thomas, Teruji 2013. Weil representation and transfer factor. Algebra & Number Theory, Vol. 7, Issue. 7, p. 1535.


    Farang-Hariri, Banafsheh 2012. La fonctorialité dʼArthur–Langlands locale géométrique et la correspondance de Howe au niveau Iwahori. Comptes Rendus Mathematique, Vol. 350, Issue. 17-18, p. 813.


    Genestier, Alain and Lysenko, Sergey 2012. Geometric Weil representation in characteristic two. Journal of the Institute of Mathematics of Jussieu, Vol. 11, Issue. 02, p. 221.


    Shin, Sug Woo 2012. Abelian varieties and Weil representations. Algebra & Number Theory, Vol. 6, Issue. 8, p. 1719.


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Geometric Weil representation: local field case

  • Vincent Lafforgue (a1) and Sergey Lysenko (a1)
  • DOI: http://dx.doi.org/10.1112/S0010437X08003771
  • Published online: 01 January 2009
Abstract
Abstract

Let k be an algebraically closed field of characteristic greater than 2, and let F=k((t)) and G=𝕊p2d. In this paper we propose a geometric analog of the Weil representation of the metaplectic group . This is a category of certain perverse sheaves on some stack, on which acts by functors. This construction will be used by Lysenko (in [Geometric theta-lifting for the dual pair S𝕆2m, 𝕊p2n, math.RT/0701170] and subsequent publications) for the proof of the geometric Langlands functoriality for some dual reductive pairs.

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[3]P. Gerardin , Weil representations associated to finite fields, J. Algebra 46 (1977), 54102.

[4]S. Gurevich and R. Hadani , Proof of the Kurlberg–Rudnick rate conjecture, C. R. Math. Acad. Sci. Paris 342 (2006), 6972, math-ph/0404074.

[8]G. Lion and M. Vergne , The Weil representation, in Maslov index and theta series, Progress in Mathematics, vol. 6 (Birkhäuser, Boston, MA, 1980).

[13]A. Weil , Sur certains groupes d’opérateurs unitaires, Acta Math. 111 (1964), 143211.

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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
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