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q-deformations of statistical mechanical systems and motives over finite fields. (arXiv:1704.06367v1 [math-ph])
来源于:arXiv
We consider q-deformations of Witt rings, based on geometric operations on
zeta functions of motives over finite fields, and we use these deformations to
construct q-analogs of the Bost-Connes quantum statistical mechanical system.
We show that the q-deformations obtained in this way can be related to Habiro
ring constructions of analytic functions over the field with one element and to
categorifications of Bost-Connes systems. 查看全文>>