Jun 13, 2024
Counting Minimally Ramified Global Fields
Algebraic Geometry and Number Theory Seminar
Date: June 13, 2024 |
1:00 pm –
3:00 pm
Speaker:
Mark Shusterman, Weizmann Institute
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language:
English
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.
