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Séminaire Doctorants

organisé par l'équipe DOCT

  • Jose Sao Joao

    Spheres and Cobordisms

    7 mai 2026 - 16:30Salle de conférences IRMA

    Continuing from last year, on my side quest into the land of cobordisms, I come to the question of why we study cobordisms? Interestingly, cobordisms are closely related to maps between spheres. In this talk I will speak about what are homotopy and homology groups and how they are really just two definitions of holes. I will speak about the homotopy groups of spheres and how studying them we may come to framed cobordisms. Finally, should there be time I will explain how the homotopy of spheres and cobordisms may motivate more advanced homotopy topics such as stable homotopy and rational homotopy.