Date/heure
8 juillet 2025
16:30 - 17:30
Oratrice ou orateur
Ilka Agricola (Philipps-Universitaet Marburg)
Catégorie d'évènement Colloquium
Résumé
In this survey talk, I will outline the history of the problem of proving or disproving the existence of complex structures on $S^6$ and explain why this question is interesting. It goes back to a 1947 paper by Heinz Hopf. Moreover, I will explain the rich structure of $S^6$ — as an almost complex manifold, and how it relates to the exceptional Lie group $G_2$, octonions, and spin geometry.