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Motivic Realizations of Singularity Categories

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No logo availableInstitut des Hautes Études Scientifiques (IHÉS)
 Robalo, Marco

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Motivic Realizations of Singularity Categories
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29
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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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Abstract
In this lecture, we will explain the connection between the (motivic) theory of vanishing cycles and the construction of motivic realizations of singularity categories. We review the results obtained in collaboration with Blanc-Toen-Vezzosi and discuss some of the recent progresses in the field.