Lectures
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2018/09/18
17:00-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Alexander Beilinson (University of Chicago)
Topological epsilon-factors (ENGLISH)
Alexander Beilinson (University of Chicago)
Topological epsilon-factors (ENGLISH)
[ Abstract ]
I will explain (following mostly my old article arXiv:0610055) how the Kashiwara-Shapira Morse theory construction of the characteristic cycle of a constructible R-sheaf can be refined to yield the cycle with coefficients in the K-theory spectrum K(R). The construction can be viewed as a topological analog of the arithmetic theory of epsilon-factors.
I will explain (following mostly my old article arXiv:0610055) how the Kashiwara-Shapira Morse theory construction of the characteristic cycle of a constructible R-sheaf can be refined to yield the cycle with coefficients in the K-theory spectrum K(R). The construction can be viewed as a topological analog of the arithmetic theory of epsilon-factors.