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June 14, 2026Transactions of the American Mathematical Society

Parahoric Hecke Ext-algebras in characteristic 𝑝

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Authors

KKKarol KoziołRORachel OllivierJSJacob Stockton

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Overview

Randomized trial investigates Ext-algebras in nonarchimedean local fields, suggesting new algebraic structures.

Key Points

  • The research aims to explore the structure of graded Ext-algebras associated with parahoric Hecke algebras in characteristic p.
  • Examined the space of compactly supported k-valued functions on the quotient G/U
  • Applied and extended previous findings from Ollivier–Schneider on the subject
  • Focused on the calculations of Ext-algebras in the context of local nonarchimedean fields
  • Established new connections between parahoric Hecke algebras and Ext-algebras in characteristic p
  • Demonstrated that the graded Ext-algebra captures essential properties of the underlying algebraic structures
  • Provided explicit constructions and examples that illustrate the theoretical advancements made

Cite This Study

Kozioł et al. (2026) studied this question.

synapsesocial.com/papers/6a2e4753b1cc60ccdea8bcd1https://doi.org/10.1090/tran/9663
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