BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Ujué Etayo (TUGraz)
DTSTART:20201111T170000Z
DTEND:20201111T180000Z
DTSTAMP:20260423T035627Z
UID:HAeS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HAeS/4/">A B
 ombieri-type inequality for Weierstrass sigma functions</a>\nby Ujué Etay
 o (TUGraz) as part of Harmonic analysis e-seminars\n\n\nAbstract\nThe Bomb
 ieri inequality is a classic inequality in number theory\,see [B. Beauzamy
 \, E. Bombieri\, P. Enflo\, and H. L. Montgomery. Products\nof polynomials
  in many variables. Journal of Number Theory\, 36(2):219\n– 245\, 1990)]
 .\nThe original statement says that given two homogeneous polynomials on $
 N$ variables $P\,Q$ respectively of degree $m$ and $n$\, then\n$$\n{\\frac
  {m!n!}{(m+n)!}}\\|P\\|^{2}\\\,\\|Q\\|^{2}\\leq \\|P\\cdot Q\\|^{2}\\leq \
 \|P\\|^{2}\\\,\\|Q\\|^{2}\,\n$$\nwhere the norm is the Bombieri-Weyl norm.
 \nThis inequality admits a rewriting in terms of integrals on the sphere\,
  a property exploited in [U. Etayo. A sharp bombieri inequality\, logarith
 mic energy and well con-\nditioned polynomials\, 2019].\nIn a joint work w
 ith Joaquim Ortega-Cerd\\`a and Haakan Hedenmalm\, we use this new definit
 ion to generalize the inequality to other Riemannian manifolds\, in partic
 ular the torus $\\mathbb{C}/\\Lambda$\n
LOCATION:https://researchseminars.org/talk/HAeS/4/
END:VEVENT
END:VCALENDAR