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Motivic homotopy type of a log scheme

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No logo availableInstitut des Hautes Études Scientifiques (IHÉS)
 Vologodsky, Vadim

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Motivic homotopy type of a log scheme
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11
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12
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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Given a log scheme X over the field of complex numbers Kato and Nakayama associated with X a topological space X_{log}. I will show that the homotopy type of X_{log} is motivic in the sense of Morel and Voevodsky. The talk is based on a work in progress with Nick Howell.