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SUMMARY:Sho Tanimoto (Nagoya University)
DTSTART:20220125T080000Z
DTEND:20220125T083000Z
DTSTAMP:20260423T010856Z
UID:JENTE/67
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/67/">C
 ampana points\, Height zeta functions\, and log Manin’s conjecture</a>\n
 by Sho Tanimoto (Nagoya University) as part of Japan Europe Number Theory 
 Exchange Seminar\n\n\nAbstract\nManin’s conjecture predicts the asymptot
 ic formula for the counting function of rational points of bounded height 
 on smooth Fano varieties. There is also some study on Manin’s conjecture
  for integral points\, however several subtleties prevent a general formul
 ation of log Manin’s conjecture for integral points. Campana and Abramov
 ich introduced the notion of Campana points which interpolates between rat
 ional points and integral points\, and Pieropan\, Smeets\, Varilly-Alvarad
 o and the author proposed a formulation of log Manin’s conjecture for Ca
 mpana points. In this talk\, I will discuss this conjecture and an approac
 h to it using the height zeta function.\n
LOCATION:https://researchseminars.org/talk/JENTE/67/
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