Parametrization of rings of finite rank - a geometric approach and their use in counting number fields

Abstract: We describe parametrizations of rings that generalize the notions of monogenic rings and binary rings. We use these parametrizations to give better lower bounds on the number of number fields of degree n and bounded discriminant.

commutative algebraalgebraic geometryalgebraic topologycombinatoricsgroup theorynumber theoryrings and algebrasrepresentation theory

Audience: researchers in the topic

( slides | video )

Comments: Recorded video Passcode: $+*v9L8p

---

Calgary Algebra and Number Theory Seminar

Series comments: This seminar series is partially supported by the Pacific Institute for the Mathematical Sciences (PIMS).

---