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Counting Minimally Ramified Global Fields

Algebraic Geometry and Number Theory Seminar

Date: Thursday, June 13, 2024 13:00 - 15:00
Speaker: Mark Shusterman (Weizmann Institute)
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Tim Browning

We discuss the problem of counting G-extensions of the rational numbers, and of a rational function field (over a finite filed), ramified at the smallest possible number of places, for various finite groups G. This discussion will take us on a tour through parameterizations of number fields, the quadratic large sieve, homology of configuration spaces, and permutation groups.

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