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SUMMARY:The Bass-Quillen conjecture and affine representability for vector
  bundles
DTSTART:20260415T134000Z
DTEND:20260415T150000Z
DTSTAMP:20260411T231000Z
UID:indico-event-16441@indico.math.cnrs.fr
DESCRIPTION:Speakers: Daniel Marlowe (University of Warwick)\n\nThe Morel-
 Voevodsky A1-homotopy category is a prime setting in which to approach qu
 estions in geometry by means of topological techniques. A notable example 
 of this is the importation of obstruction theory into the study of vector 
 bundles over algebraic varieties\; this allows one to reduce statements ab
 out such vector bundles to cohomological criteria\, and in doing so demons
 trates that the heart of the matter is often a computation of a K-theoreti
 c nature.\n \nIn this expository talk\, we will review some elements of t
 his motivic obstruction theory\, and in particular the key geometric ingre
 dient in the form of Lindel-Popescu's solution to the Bass-Quillen conject
 ure. We will then sketch its role in the proof of affine representability 
 for vector bundles in the A1-homotopy category.\n\nhttps://indico.math.cnr
 s.fr/event/16441/
LOCATION:Salle Pierre Grisvard (Institut Henri Poincaré)
URL:https://indico.math.cnrs.fr/event/16441/
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