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DTSTART:20200329T030000
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DTSTART:20191027T020000
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DTSTAMP:20200124T121719Z
UID:5ca2144ecb1f0574712841@ist.ac.at
DTSTART:20191114T113000
DTEND:20191114T123000
DESCRIPTION:Speaker: Vladimir Mitankin\nhosted by Timothy Browning\nAbstrac
t: In 2017 Ghosh and Sarnak predicted how often the integral Hasse princip
le should fail in the family of Markoff surfaces. They were able to obtain
a lower bound for this quantity but its magnitude is still far away from
the expectation. In this talk we will explain what can be achieved for thi
s family using tools from Arithmetic geometry developed for studying failu
res of local-to-global principles. In particular\, we will explain how to
get sharp upper and lower bounds for the number of failures of the Hasse p
rinciple for integral points explained by the Brauer-Manin obstruction. Mo
reover\, we will give a lower bound for the number of failures which are n
ot explained by the Brauer-Manin obstruction. This talk is based on a join
work with Dan Loughran.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, IST Austria
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Integral points on Markoff surfaces
URL:https://talks-calendar.app.ist.ac.at/events/2150
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