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DTSTART:20190331T030000
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DTSTART:20181028T020000
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DTSTAMP:20200713T022052Z
UID:5ba205f9efacf744382014@ist.ac.at
DTSTART:20181213T133000
DTEND:20181213T153000
DESCRIPTION:Speaker: Stefan Schreieder\nhosted by Timothy Browning\nAbstrac
t: The first part of the talk starts with an overview on the rationality p
roblem for hypersurfaces. This is an old and classical question\, which as
ks whether a given smooth hypersurfaces in projective space is rational\,
i.e. birational to projective space. We then explain the following recent
progress on this question: over any uncountable field of characteristic di
fferent from two\, a very general hypersurface of dimension n>2 and degree
at least log_2(n)+2 is not stably rational. This significantly improves e
arlier results of Koll\\'ar and Totaro. In the second half of the talk\, w
e will sketch the proof of this result. If time allows\, we might also men
tion that as a byproduct of our proof\, one obtains new counterexamples to
the integral Hodge conjecture\, answering a question of Voisin and Collio
t-ThlneVoisin.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:lmarr@ist.ac.at
SUMMARY:Stably irrational hypersurfaces of small slopes
URL:https://talks-calendar.app.ist.ac.at/events/1568
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