3 problems

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Digne–Michel's unipotent Shintani descent conjecture for Ree groups of type $G_2$
Let $F\in\operatorname{Aut}(W)$ have order $2$ . Let $\operatorname{\bf{G}}$ be the algebraic group in the Ree-group setting, let $\chi$ be an $F$ -stable irreducible character of…
Conjectureopenfinite-groups-of-lie-type ree-groups shintani-descentarXiv posted 2 days ago
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Shintani descent conjecture for Frobenius–Schur indicator $-1$ characters
Let $n$ be a positive integer, let $q$ be a prime power, and let $\tau$ denote the relevant Frobenius automorphism. Let $\chi$ be a real-valued irreducible character of…
Conjectureopencharacter-theory finite-groups-of-lie-type shintani-descentarXiv posted 2 days ago
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Shintani descent conjecture for extensions of real-valued unitary characters
Let $n$ be a positive integer, let $q$ be a prime power, and let $\tau$ denote the relevant Frobenius automorphism. Consider a real-valued irreducible character $\chi$ of…
Conjectureopencharacter-theory finite-groups-of-lie-type shintani-descentarXiv posted 2 days ago

Digne–Michel's unipotent Shintani descent conjecture for Ree groups of type G2G_2G2​