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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Motives with modulus over a base

## Motives with modulus over a baseAdd to your list(s) Download to your calendar using vCal - Shane Kelly (University of Tokyo)
- Tuesday 17 May 2022, 16:00-17:00
- Seminar Room 2, Newton Institute.
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:- All CMS events
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