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Spherical Varieties.pdf

jtnb.1186.pdf
Preview of Spherical Varieties
🔗 Source: jtnb.centre-mersenne.org
📊 Size: 773 KB
👤 Author: David Loeffler
⬇️ Downloads: 243

Summary

Norm-compatible families of cohomology classes for Shimura varieties and other arithmetic symmetric spaces play a crucial role in Iwasawa theory of automorphic forms, with applications to p-adic L-functions and Euler systems. This note develops a systematic approach to proving "vertical" norm-compatibility relations for such classes, revealing an unexpected connection to the theory of spherical varieties. The machinery can be used to construct new examples of norm-compatible families, potentially leading to new constructions of Euler systems and p-adic L-functions, such as families of algebraic cycles on Shimura varieties for U(n) × U(n + 1) and U(2n) over the p-adic anticyclotomic tower.

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Norm-compatible families of cohomology classes for Shimura varieties and other arithmetic symmetric spaces play a crucial role in Iwasawa theory of automorphic...

Technical Information

  • File Format: PDF
  • File Size: 773 KB
  • Pages: 24
  • Language: EN
  • Author: David Loeffler
  • Total Downloads: 243
  • Last Updated: 1 week ago

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This PDF document about Spherical Varieties provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Spherical Varieties.

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