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λ-Adic Topology.pdf

42E_AlexanderAVoronov.pdf
Preview of λ-Adic Topology
🔗 Source: ipmu.jp
📊 Size: 384 KB
📄 Pages: 1 page
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Summary

Alexander A. Voronov, a Professor at the University of Minnesota and a Visiting Senior Scientist at Kavli IPMU, discusses λ-adic topology. This topology, defined on the space of polynomials with complex coefficients, is based on neighborhoods of 0: C[λ] ⊃ λC[λ] ⊃ λ²C[λ] ⊃ ... Completing this space yields the space of formal power series C[[λ]], where every series anλ^n converges as n → ∞. For a prime number p, a similar construction leads to the ring of p-adic numbers Qp, which are formal power series with coefficients 0, 1, ..., p-1. The ring of p-adic integers Zp can also be constructed via an inverse limit process.

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This world is the world of λ-adic topology, a topology on the space C[λ] of polynomials in λ with complex coefficients. The λ-adic topology is defined by a basis of neighborhoods of 0: C[λ] ⊃ λC[λ] ⊃ λ^2C[λ] ⊃...

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  • File Format: PDF
  • File Size: 384 KB
  • Pages: 1
  • Language: EN
  • Total Downloads: 14
  • Last Updated: 6 days ago

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