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TZID:Europe/Vienna
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DTSTART:20190331T030000
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DTSTART:20181028T020000
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BEGIN:VEVENT
DTSTAMP:20260404T020003Z
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
 TA
ORGANIZER:lmarr@ist.ac.at
SUMMARY:Stefan Schreieder: Stably irrational hypersurfaces of small slopes
URL:https://talks-calendar.ista.ac.at/events/1568
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