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SUMMARY:Detchat Samart (Burapha University)
DTSTART:20210407T070000Z
DTEND:20210407T080000Z
DTSTAMP:20260423T011321Z
UID:numsjtu/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/numsjtu/3/">
 Mahler measures of algebraic varieties: Results and experiments</a>\nby De
 tchat Samart (Burapha University) as part of SJTU number theory seminar\n\
 nLecture held in zoom: 658 593 56935.\n\nAbstract\nThe (logarithmic) Mahle
 r measures of an $n$-variable polynomial $P$ is defined as the arithmetic 
 mean of $\\log |P|$ over the $n$-torus. Despite its purely analytic formul
 ation\, Mahler measure is known to have a deep connection with the arithme
 tic of the corresponding algebraic variety via $L$-functions\, thanks to w
 ork of Deninger\, Boyd\, Bertin\, and many others. There are several known
  results and conjectures in the literature\nrelating Mahler measures to sp
 ecial $L$-values of Dirichlet series\, elliptic curves\, $K3$ surfaces\, a
 nd modular forms. In this talk\, we will give a survey of recent results i
 n this research direction from both\ntheoretical and experimental perspect
 ives.\n\nzoom: 658 593 56935\, password: the first 6 digits of $\\zeta(3)$
 \n
LOCATION:https://researchseminars.org/talk/numsjtu/3/
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