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
Contact:
Oosthuizen-Noczil Birgit
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.