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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

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.