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Modular Curves on Modular Surfaces
1988In this chapter we introduce the modular curves on Hilbert modular surfaces. It is the presence of these curves that makes the geometry and arithmetic of these surfaces so rich. If one considers the surface (PSL(2, ℤ)\ℌ)2 as a degenerate Hilbert modular surface, then on this surface the modular curves are just the Hecke correspondences T N .
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Modular Automorphisms and Modular Conjugation
1992This section is a mathematical digression. It is devoted to the Tomita-Takesaki theorem and consequences thereof. This theorem is a beautiful example of “prestabilized harmony” between physics and mathematics. On the one hand it is intimately related to the KMS-condition. On the other hand it initiated a significant advance in the classification theory
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2011
One of the liveliest debates within cognitive science and the philosophy of psychology concerns the extent to which, and in which sense, the mind is modular. Several different notions of module have been developed over the years, and clarifying the weaker and stronger notions of module is an important, substantial philosophical project.
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One of the liveliest debates within cognitive science and the philosophy of psychology concerns the extent to which, and in which sense, the mind is modular. Several different notions of module have been developed over the years, and clarifying the weaker and stronger notions of module is an important, substantial philosophical project.
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p-Modularity implies modularity in equational classes
Algebra Universalis, 1973openaire +2 more sources