Alain Connes
(College de France and IHES)
September 3, 2021
(EST (Toronto))
Organized by Americas GNCG Seminar.

On the Notion of Space

I will analyze two fundamental “spaces” using the paradigms of spectral and of algebraic geometry. The spectral paradigm is of quantum mechanical origin and suitable to treat noncommutative spaces. The algebraic geometry paradigm is that of a topos endowed with a structure sheaf of algebraic nature. The two “spaces” are space-time and the primes.

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