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SUMMARY:Ari Krishna (Harvard)
DTSTART:20260409T210000Z
DTEND:20260409T223000Z
DTSTAMP:20260422T220032Z
UID:STAGE/155
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/155/">
 Torsors over a diagonal cubic surface</a>\nby Ari Krishna (Harvard) as par
 t of STAGE\n\nLecture held in Room 2-139 in the MIT Simons Building.\n\nAb
 stract\nDiagonal cubic surfaces are an interesting class of varieties in t
 he context of the Hasse principle\, since they have a very simple form and
  the Brauer-Manin obstruction is conjectured to be the only obstruction to
  the Hasse principle. \n\nIn this and the next talk\, we will construct to
 rsors over diagonal cubic surfaces under certain tori that play the role o
 f the universal torsors. We will show that checking whether the Brauer-Man
 in obstruction is the only one amounts to understanding the Hasse principl
 e on these torsors. \n\nThe first talk will focus on the construction of s
 uch a torsor.\n\nReference: Colliot-Thélène\, Kanevsky\, Sansuc\, <a hre
 f="https://link.springer.com/chapter/10.1007/BFb0078705">Arithmétique des
  surfaces cubiques diagonales</a>\, Section 10(a)(b).\n(<a href="https://d
 rive.google.com/file/d/1okKy8o68IfdmgiOnRCAxYKE4D46yEdZa/view?usp=sharing"
 >English translation</a>)\n
LOCATION:https://researchseminars.org/talk/STAGE/155/
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