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Student Arithmetic Seminar

Newton Polygons
Wednesday, October 14, 2020
7:00-8:00 PM
Off Campus Location
How big are the roots of a p-adic polynomial? Newton gave a simple algorithm to compute the answer: one draws a certain polygon, the titular Newton polygon, that turns out to completely answer the question. After explaining how the theory works, and how Newton thought about it over two hundred years before Hensel discovered p-adic numbers, we'll use Newton polygons to construct, for each n, a rational polynomial with Galois group the symmetric group on n
letters, following Coleman. Speaker(s): David Schwein (UM)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics