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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Fuglede’s conjecture in Q_p




Date(s) : 26/01/2016   iCal
9h30 - 12h00

In this talk, I will report our recent progress on spectral conjecture (or Fuglede’s conjecture) in the filed Qp of p-adic numbers. We prove that Fuglede’s conjecture holds in Qp, i.e a Borel set of positive and finite Haar measure in Qp is a spectral set if and only if it tiles Qp by translation. Moreover, the spectral sets are proved to be almost compact open and characterized by the p-homogeneity which is easy to check.This is a joint work with (Ai-Hua FAN, Lingmin LIAO, Ruxi SHI).

Emplacement
Luminy - CIRM

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