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Exportar Referência (APA)
Mendes, S. (2019). L-PACKETS AND A GEOMETRIC CONJECTURE FOR SL2(K) WITH K A LOCAL FUNCTION FIELD OF CHARACTERISTIC 2. p-adics.2019 Seventh International Conference on p-Adic Mathematical Physics and its Applications.
Exportar Referência (IEEE)
S. M. Mendes,  "L-PACKETS AND A GEOMETRIC CONJECTURE FOR SL2(K) WITH K A LOCAL FUNCTION FIELD OF CHARACTERISTIC 2", in p-adics.2019 7th Int. Conf. on p-Adic Mathematical Physics and its Applications, Covilhã, 2019
Exportar BibTeX
@misc{mendes2019_1776119326439,
	author = "Mendes, S.",
	title = "L-PACKETS AND A GEOMETRIC CONJECTURE FOR SL2(K) WITH K A LOCAL FUNCTION FIELD OF CHARACTERISTIC 2",
	year = "2019",
	howpublished = "Digital",
	url = "http://padics2019.inpcs.net/"
}
Exportar RIS
TY  - CPAPER
TI  - L-PACKETS AND A GEOMETRIC CONJECTURE FOR SL2(K) WITH K A LOCAL FUNCTION FIELD OF CHARACTERISTIC 2
T2  - p-adics.2019 Seventh International Conference on p-Adic Mathematical Physics and its Applications
AU  - Mendes, S.
PY  - 2019
CY  - Covilhã
UR  - http://padics2019.inpcs.net/
AB  - Abstract. Let G = SL2(K) with K a local function field of characteristic 2. In [3], the authors studied depth for G and its inner forms. Continuing the study of the group G from the point of view of local Langlands correspondence, we review Artin-Schreier theory for the field K, and show that this leads to a parametrization of certain L-packets in the smooth dual of G. We relate this with the geometric conjecture of Aubert-Baum-Plymen-Solleveld [1, 2] (see also [4] for the case of SL4 over a local field of characteristic zero). Joint work with Roger Plymen.

References:
[1] A-M. Aubert, P. Baum, R. J. Plymen, M. Solleveld, (2014). Geometric structure in
smooth dual and local Langlands conjecture. Japanese Journal of Mathematics, 9(2),
99{136. DOI: doi:10.1007/s11537-014-1267-x.
[2] A-M. Aubert, P. Baum, R. J. Plymen, M. Solleveld, (2017). Conjectures about padic groups and their noncommutative geometry. Contemporary Mathematics. DOI:
10.1090/conm/691/13892
[3] A-M. Aubert, S. Mendes, R.J. Plymen, M. Solleveld, (2017). On L-packets and depth
for SL2(K) and its inner form. International Journal of Number Theory, 1-19. DOI:
10.1142/S1793042117501421
[4] K. F. Chao, R. J. Plymen, (2012). Geometric structure in the tempered dual of SL(4).
Bulletin of the London Mathematical Society, 44, 1-9. DOI: 10.1112/blms/bdr106
ER  -