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March 21, 2026Transactions of the American Mathematical Society

Codimension one intersections between components of the Emerton-Gee stack for GL₂

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KKKalyani Kansal

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Overview

This analysis reveals intersections of components in the Emerton-Gee stack for Galois representations, suggesting deeper structures in number theory.

Key Points

  • To explore the codimension one intersections of components within the Emerton-Gee stack for GL₂.
  • Introduced the Emerton-Gee stack as a moduli space of Galois representations.
  • Investigated the reduced part of the stack over finite fields.
  • Analyzed irreducible components categorized by Serre weights.
  • Identified natural labeling of irreducible components based on Serre weights.
  • Established relationships between the components of the stack and Galois representations.

Cite This Study

Kalyani Kansal (2026) studied this question.

synapsesocial.com/papers/69be36516e48c4981c6752a6https://doi.org/10.1090/tran/9487
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