A survey of Gersten's conjecture

Abstract

This article is the extended notes of my survey talk of Gersten's conjecture given at the workshop "Bousfield classes form a set: a workshop in a memory of Tetsusuke Ohkawa" at Nagoya University in August 2015. In the last section, I give an explanation of my recent work of motivic Gernsten's conjecture.

draws from arXiv:1503.07966

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• Non-connective K-theory of relative exact categories
• What makes a multi-complex exact?
• Hochschild coniveau spectral sequence and the Beilinson residue
• Infinitesimal Theory of Chow Groups via K-theory, Cyclic Homology and the Relative Chern Character
• Local Gersten's conjecture for regular system of parameters
• Nilpotent invariant motives I

Cited by in corpus (1)

• Nilpotent invariant motives I