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Higher Hida Theory For Siegel Modular Forms.pdf

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Preview of Higher Hida theory for Siegel modular forms
🔗 Source: ma.imperial.ac.uk
📊 Size: 806 KB
📄 Pages: 63 pages
⬇️ Downloads: 64

Summary

Boxer and Pilloni develop a version of Hida theory for higher coherent cohomology on Siegel Shimura varieties, introducing "higher Hida theory" that works for higher cohomological degrees, not just modular forms. They define the set MW, consisting of minimal length representatives of the quotient of Weyl groups, and use it to describe the theory. The ordinary part of cohomology is defined using representation theory and Hecke algebra action, and the authors establish a control theorem and interpolation theorem for higher Hida theory.

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Description

Boxer and Pilloni develop a version of Hida theory for higher coherent cohomology on Siegel Shimura varieties, introducing "higher Hida theory" that works for...

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  • File Format: PDF
  • File Size: 806 KB
  • Pages: 63
  • Language: EN
  • Total Downloads: 64
  • Last Updated: 6 days ago

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This PDF document about Higher Hida theory for Siegel modular forms provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Higher Hida theory for Siegel modular forms.

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