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SUMMARY:Algebraic structures on Cox rings
DTSTART:20260115T130000Z
DTEND:20260115T150000Z
DTSTAMP:20260427T222300Z
UID:indico-event-14890@indico.math.cnrs.fr
DESCRIPTION:Speakers: Luca Francone (Roma Tor Vergata)\n\nThe Cox ring of 
 an algebraic variety is a graded algebra whose homogeneous components cons
 ist of the global sections of the line bundles on the variety. Cox rings p
 lay a central role in algebraic geometry\, as their algebraic structure en
 codes substantial information about the (birational) geometry of the under
 lying variety. Despite their importance\, providing explicit descriptions 
 of Cox rings remains a challenging and often elusive problem.In this talk\
 , we will explore (hopefully through various examples) several techniques 
 and results aimed at describing Cox rings in terms of other algebraic stru
 ctures: cluster algebras their generalizations.\n\nhttps://indico.math.cnr
 s.fr/event/14890/
URL:https://indico.math.cnrs.fr/event/14890/
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