14–19 Jul 2024
Hotel Les Sources
Europe/Zurich timezone

Supergeometry - oddities of the square

16 Jul 2024, 18:15
45m
Hotel Les Sources

Hotel Les Sources

Chem. du Vernex 9, 1865 Ormont-Dessus Les Diablerets Switzerland

Speaker

Donald Huber-Youmans

Description

This course is an excursion into the marvelous world of supergeometry which plays an important role in mathematics and physics. On one hand, it is a natural, albeit at first glance unintuitive, generalization of ordinary geometry. On the other hand it plays a pivotal role in the theory of supersymmetry. Naively, one can replace “super” by “Z/2Z”-graded, alongside introducing the Koszul sign-rule. This naive idea has far reaching consequences leading to the definition of supermanifolds and supersymmetry.
Key words: Super algebras, super manifolds, odd coordinates, fuzzy points, Supersymmetry, super quantum mechanics

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