Diophantine tuples and their generalizations
Speaker: Chi Hoi Yip
Date: Thu, Mar 27, 2025
Location: PIMS, University of Calgary
Conference: UCalgary Algebra and Number Theory Seminar
Subject: Mathematics, Algebraic Geometry, Number Theory
Class: Scientific
Date: Thu, Mar 27, 2025
Location: PIMS, University of Calgary
Conference: UCalgary Algebra and Number Theory Seminar
Subject: Mathematics, Algebraic Geometry, Number Theory
Class: Scientific
Abstract:
A set {𝑎1,𝑎2,…,𝑎𝑚}of distinct positive integers is a Diophantine 𝑚-tuple if the product of any two distinct elements in the set is one less than a square. In this talk, I will discuss some recent results related to Diophantine tuples and their generalizations. Joint work with Ernie Croot, Seoyoung Kim, and Semin Yoo.
