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DTSTAMP:20260424T074153Z
UID:1706184000@ist.ac.at
DTSTART:20240125T130000
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DESCRIPTION:Speaker: Soumya Sankar\nhosted by Tim Browning \nAbstract: A v
 ariety is called rational if it admits a birational map to projective spac
 e. One of the major programs in algebraic geometry seeks to understand whe
 n a given variety is rational\, and what the obstructions to rationality a
 re. From this perspective\, conic bundles are a geometrically rich class o
 f varieties. I will talk about joint work with Sarah Frei\, Lena Ji\, Bian
 ca Viray and Isabel Vogt\, where we describe curve classes on certain coni
 c bundle threefolds over arbitrary fields in terms of rational points on c
 ertain torsors of a Prym variety. We then use the description of these cla
 sses to study the rationality of such threefolds.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA\, 
 ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at 
SUMMARY:Soumya Sankar: Curve classes on conic bundle threefolds and applic
 ations to rationality
URL:https://talks-calendar.ista.ac.at/events/4747
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