BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jean-Louis Colliot-Thélène
DTSTART:20210811T103000Z
DTEND:20210811T110000Z
DTSTAMP:20260417T011647Z
UID:MSR80/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MSR80/12/">O
 n the local-global principle for reductive groups over semi-global fields<
 /a>\nby Jean-Louis Colliot-Thélène as part of International Conference o
 n Discrete groups\, Geometry and Arithmetic\n\n\nAbstract\nBy semi-global 
 field\, we mean the field of rational functions of a curve over the field 
 of\nfractions of a complete discrete valuation ring. Such a semi-global fi
 eld may be completed in\nvarious ways. Over the last ten years\, the valid
 ity of a Hasse principle for principal homogeneous\nspaces of reductive gr
 oups over semi-global fields has been investigated. I shall report on this
 . In\nparticular we shall see that in this context the principle need not 
 hold for semisimple simply connected groups\, whereas it holds for reducti
 ve groups whose underlying variety is birational to\naffine space. [This i
 s joint work with D. Harbater\, J. Hartmann\, D. Krashen\, R. Parimala and
  V.\nSuresh.]\n
LOCATION:https://researchseminars.org/talk/MSR80/12/
END:VEVENT
END:VCALENDAR