HOẠT ĐỘNG TRONG TUẦN

Universal Triviality of the Chow group of zero-cycles and unramified logarithmic Hodge-Witt cohomology
Speaker: Shusuke Otabe (Tokyo Denki University)

Time: 9h15, Friday, July 30, 2021

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https://us02web.zoom.us/j/82772292046?pwd=Yyt5ZkpXa1AyNnlnbnk5VTdxVGkvZz09

Meeting ID: 827 7229 2046

Passcode: 830392

Abstract: Auel–Bigazzi–Bohning–Graf von Bothmer proved that if a proper smooth variety over a field has universally trivial Chow group of zerocycles, then its cohomological Brauer group is trivial as well. Binda–Rulling–Saito recently prove that the same conclusion is true for all reciprocity sheaves. For example, unramified logarithmic Hodge-Witt cohomology has the structure of reciprocity sheaf. In this talk, I will discuss another proof of the triviality of the unramified cohomology, where the key ingredient is a certain kind of moving lemma.

This is a joint work with Wataru Kai and Takao Yamaza.

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