Lehmer’s conjecture via model theory

Abstract: In this talk, we first introduce the height function and the Mahler measure on the field of algebraic numbers. We state and give a survey on Lehmer’s conjecture for the Mahler measure, which is still an open problem. Then, we consider the field of algebraic numbers with elements of small Mahler measures in terms of model theory, and we link this theory with Lehmer’s conjecture. Our approach is based on Van der Waerden's theorem from additive combinatorics.

algebraic geometrynumber theory

Audience: researchers in the topic

Comments: Zoom link: us06web.zoom.us/j/85613860958 Meeting ID: 856 1386 0958

FGC-HRI-IPM Number Theory Webinars

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