Colloquium October 10
Date: Tuesday October 10
Time: 16:00 to 17:00
Place: 455 McBryde (Commons Room)
Speaker: Jason Worth Martin of James Madison
Title: Improved Bounds on Discriminants of Number Fields
Abstract
Discriminants of number fields are classical invariants which relate
to, among other things, the density of the algebraic integers of a
number field embedded in $R^n$, the primes which ramify in the
field, the size of the class group, and special values of the Dedekind
Zeta function of the number field. The discriminant is therefore one
of the key criteria used to categorize number fields and any
improvement of our understanding of discriminants is both
theoretically and computationally useful.
In this talk I'll briefly describe some new results in discriminant
bounds and explain why applied mathematicians might be interested in
this esoteric area of number theory.
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