Orateur : Victor Chachay (IMB)

Résumé

Since algebraic varieties are defined by polynomial equations, the properties of the variety may change depending on the field of definition (an equation may have solutions over C but not R). We will study the example of a cubic equation to observe some of these facts. To recover an invariant that was lost if not over C will be the excuse to introduce some motivic theory tools, mainly Euler classes and degree in the Milnor-Witt K-theory.

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