Parametrization of rings of finite rank - a geometric approach and their use in counting number fields
Speaker: Gaurav Patil
Date: Thu, Oct 17, 2024
Location: PIMS, University of Calgary
Conference: UCalgary Algebra and Number Theory Seminar
Subject: Mathematics, Algebraic Geometry, Number Theory
Class: Scientific
Date: Thu, Oct 17, 2024
Location: PIMS, University of Calgary
Conference: UCalgary Algebra and Number Theory Seminar
Subject: Mathematics, Algebraic Geometry, Number Theory
Class: Scientific
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.
