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UID:news1914@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20250930T172857
DTSTART;TZID=Europe/Zurich:20251009T141500
SUMMARY:Number Theory Seminar: Thu Hà Trieu (Hanoi University of Science a
 nd Technology / Oberwolfach Leibniz Fellow)
DESCRIPTION:The Mahler measure of exact polynomials and L-function of motiv
 es   \\r\\nAbstract: The Mahler measure of polynomials was introduced by
  Mahler in 1962 as a tool to study transcendental number theory. Over time
 \, numerous connections have been discovered between Mahler measure and sp
 ecial values of L-functions. In this talk\, we express the Mahler measure 
 of an exact polynomial in arbitrarily many variables in terms of Deligne
 –Beilinson cohomology\, and study its relationship with Beilinson regula
 tors. As an application\, we show that the Mahler measure of certain three
 -variable polynomials can be expressed in terms of special values of the L
 -functions of elliptic curves and the Bloch–Wigner dilogarithm. In the f
 our-variable case\, the Mahler measure can be written as a linear combinat
 ion of special values of the L-functions of K3 surfaces and of the Riemann
  zeta function.\\r\\nSpiegelgasse 5\, Seminarraum 05.002
X-ALT-DESC:<h2>The Mahler measure of exact polynomials and L-function of mo
 tives&nbsp\; &nbsp\;</h2>\n<p>Abstract: The Mahler measure of polynomials 
 was introduced by Mahler in 1962 as a tool to study transcendental number 
 theory. Over time\, numerous connections have been discovered between Mahl
 er measure and special values of L-functions. In this talk\, we express th
 e Mahler measure of an exact polynomial in arbitrarily many variables in t
 erms of Deligne–Beilinson cohomology\, and study its relationship with B
 eilinson regulators. As an application\, we show that the Mahler measure o
 f certain three-variable polynomials can be expressed in terms of special 
 values of the L-functions of elliptic curves and the Bloch–Wigner diloga
 rithm. In the four-variable case\, the Mahler measure can be written as a 
 linear combination of special values of the L-functions of K3 surfaces and
  of the Riemann zeta function.</p>\n<p>Spiegelgasse 5\, Seminarraum 05.002
 </p>
DTEND;TZID=Europe/Zurich:20251009T151500
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