Seminário de Álgebra  RSS

31/10/2002, 14:00 — 15:00 — Sala P3.10, Pavilhão de Matemática
Freddy Van Oystaeyen, University of Antwerp

Noncommutative topology and geometry

Trying to discover a unifying theory connecting the noncommutative geometry of schematic algebras to the classical basis for quantum mechanics and the noncommutative geometry in terms of C*-algebras, we develop noncommutative topology both in the analytic sense or in the sense of Grothendieck topology. The relation with the lattice of linear closed subspaces of a Hilbert space H is indicated. Function theory in a quaternion variable viewed as two noncommuting complex variables is developed and leads to noncommutative Riemann manifolds and other examples of noncommutative manifolds.

Organizador actual: Gustavo Granja

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