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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Motives with modulus over a base
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If you have a question about this talk, please contact nobody. KAH2 - K-theory, algebraic cycles and motivic homotopy theory Kahn, Miyazaki, Saito, Yamazaki’s theory of motives (over a field) with modulus formalises the idea of ramification filtration / irregular singularities in a Voevodsky-esque framework. After giving some motivation for this theory, I’ll describe how to extend it to a general qcqs base with modulus. In particular, mixed characteristic and non-noetherian valuation rings are allowed. Along the way, we obtain a natural definition of homotopy type with modulus, and various Grothendieck topologies closely related to the relative Riemann-Zariski spaces of Temkin. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
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