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SUMMARY:Rencontres Mathématiques Besançon-Dijon
DTSTART;VALUE=DATE-TIME:20190131T150000Z
DTEND;VALUE=DATE-TIME:20190131T170000Z
DTSTAMP;VALUE=DATE-TIME:20210303T145605Z
UID:indico-event-4400@indico.math.cnrs.fr
DESCRIPTION:It is a major insight of the preceding two centuries that one
can use a geometrical language to study the solutions of a given set of po
lynomial equations with coefficients in an arbitrary field\, such as the c
omplex numbers or even in an arbitrary ring\, such as the integers. The co
rresponding objects\, called algebraic varieties\, are extremely rich and
mysterious due to their dual nature\, geometric and arithmetic.\n\n The
driving force of the project is the use of the recent and powerful theory
of motivic A1-homotopy introduced by Voevodsky to produce new\, and study
classical\, invariants of algebraic varieties of both geometric and arithm
etic nature.\n\n The expected applications have a very wide range: advan
ces in the understanding of Voevodsky’s theory\, producing new knowledge
in affine algebraic geometry\, extending previously known computations of
invariants for families of algebraic varieties\, and improvement of our a
rithmetical knowledge of certain kinds of algebraic varieties.\n\nWeb site
\n\nhttps://indico.math.cnrs.fr/event/4400/
LOCATION:LMB Salle 316 B
URL:https://indico.math.cnrs.fr/event/4400/
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