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DTSTART:20200329T030000
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DTSTART:20191027T020000
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DTSTAMP:20260404T053447Z
UID:5c3337d56143a867950711@ist.ac.at
DTSTART:20191114T133000
DTEND:20191114T153000
DESCRIPTION:Speaker: Yang CAO\nhosted by Timothy Browning\nAbstract: Strong
  approximation with Brauer-Manin obstruction is defined by Colliot-Thelene
  and Xu to study the local-global principle for the integral points. For a
 n algebraic variety\, inspired by analytic number theory\, I consider the 
 density of integral points with coprime values or squarefree values in ade
 lic space: the arithmetic purity or squarefree values of strong approximat
 ion. On the other side\, for a semi-simple\, simply connected k-simple lin
 ear algebraic group G\, it is conjectured by Wittenberg that G satisfies a
 rithmetic purity: the complement of any codimension >=2 closed subset sati
 sfies strong approximation. We prove this conjecture for k-isotropic group
 s by an analogue of fibration method and  for Spin groups by using the den
 sity of rational points with almost prime polynomial values. This is joint
  work with Zhizhong Huang.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Yang CAO: Strong approximation: Arithmetic purity and squarefree va
 lue
URL:https://talks-calendar.ista.ac.at/events/2067
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