24. Albert Schwarz: Some questions on Jordan algebras inspired by quantum theory - LieJor27-Aug-2020

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Albert Schwarz (UC Davis, USA)
Some questions on Jordan algebras inspired by quantum theory
27-Aug-2020
LieJor Online Algebra Seminar

Abstract:
One can formulate quantum theory taking as a starting point a convex set (the set of states) or a convex cone (the set of non-normalized states.) Jordan algebras are closely related to homogeneous cones, therefore they appear naturally in this formulation. There exists a conjecture that superstring can be formulated in terms of exceptional Jordan algebras. In my purely mathematical talk I'll formulate some results and conjectures on Jordan algebras coming from these ideas.

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