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This document discusses the CalegariVenkatesh conjecture, which involves a connection between the homology of the projective general linear group and algebraic Ktheory. It establishes a surjection
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The Calegari-Venkatesh conjecture is a hypothesis in number theory that suggests a relationship between certain number fields and their Galois representations, exploring the connections between various arithmetic structures.
Researchers and mathematicians working in the field of number theory, particularly those focusing on Galois representations and related areas, may need to address the Calegari-Venkatesh conjecture in their work.
Filling out the form typically involves providing mathematical proofs, relevant counterexamples, and supporting evidence that pertain to the conjecture's claims. Specific guidelines may vary by publication or conference.
The purpose of the Calegari-Venkatesh conjecture is to advance understanding in number theory, particularly in how different mathematical concepts interconnect, thereby enhancing the overall knowledge in the field.
Information to be reported includes definitions, theoretical frameworks, examples, proofs, and any empirical data collected that supports or refutes the conjecture.
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