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Multiple Dedekind Zeta Values are Periods of Mixed Tate Motives

Posted in
Speaker: 
Ivan Horozov
Affiliation: 
CUNY/MPIM
Date: 
Wed, 2018-08-22 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Recently, the author defined multiple Dedekind zeta values associated to a
number K field and a cone C. These object are number theoretic analogue of
multiple zeta values. We prove that every multiple Dedekind zeta value over
totally real number field is a period of a mixed Tate motive. The mixed
motive is defined over K in terms of a the Deligne-Mumford compactification
of the moduli space of curves of genus zero with n marked points.

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