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Lately, quantity concept and mathematics geometry were enriched by way of new concepts from noncommutative geometry, operator algebras, dynamical platforms, and K-Theory. This quantity collects and provides updated examine subject matters in mathematics and noncommutative geometry and concepts from physics that time to attainable new connections among the fields of quantity idea, algebraic geometry and noncommutative geometry. The articles accumulated during this quantity current new noncommutative geometry views on classical themes of quantity thought and mathematics corresponding to modular kinds, category box thought, the idea of reductive p-adic teams, Shimura forms, the neighborhood L-factors of mathematics forms. in addition they convey how mathematics seems obviously in noncommutative geometry and in physics, within the residues of Feynman graphs, within the houses of noncommutative tori, and within the quantum corridor impact.
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