Date: Wednesday, March 28, 2018
Location: 4096 East Hall (4:10 PM to 5:30 PM)
Title: Canonical paths and monodromy
Abstract: Let K be a local field (archimedean or nonarchimedean) and X a normal variety over X. Then, in several settings, there exist canonical linear combinations of paths between any two points in X. I'll explain several applications of this observation: (1) a monodromyfree theory of iterated integration on complex varieties, (2) some structural results about Galois actions on pro\ell geometric fundamental groups of varieties over padic local fields, for p different from \ell, and (3) results on the representation theory of arithmetic fundamental groups.
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Speaker: Daniel Litt
Institution: Columbia University
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