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SUMMARY:Haydar Goral
DTSTART:20221107T130000Z
DTEND:20221107T140000Z
DTSTAMP:20260424T113855Z
UID:FGC-IPM/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FGC-IPM/24/"
 >Lehmer’s conjecture via model theory</a>\nby Haydar Goral as part of FG
 C-HRI-IPM Number Theory Webinars\n\n\nAbstract\nIn this talk\, we first in
 troduce the height function and the Mahler measure on the field of algebra
 ic numbers. We state and give a survey on Lehmer’s conjecture for the Ma
 hler measure\, which is still an open problem. Then\, we consider the fiel
 d of algebraic numbers with elements of small Mahler measures in terms of 
 model theory\, and we link this theory with Lehmer’s conjecture.  Our ap
 proach is based on Van der Waerden's theorem from additive combinatorics.\
 n\nZoom link: https://us06web.zoom.us/j/85613860958\nMeeting ID: 856 1386 
 0958\n
LOCATION:https://researchseminars.org/talk/FGC-IPM/24/
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