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Acta Mathematica Vietnamica

Trace Formulas for Motivic Volumes

icon-email François Loeser

Abstract

We present some recent trace formulas for varieties over valued fields which can be seen as analogues of Grothendieck’s Lefschetz trace formula for varieties over finite fields. This involves motivic integration and non-archimedean geometry.

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Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán MathScinet Arxiv