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math.RT2025
The sparsity of character tables over finite reductive groups and its additive analogue
GyeongHyeon Nam, Anna Puskás
We consider the proportion of zero entries in the character table of a sequence of reductive groups over a finite field. We prove an asymptotic lower bound when the reductive group…
math.RT2025
Arithmetic geometry of character varieties with regular monodromy
Masoud Kamgarpour, GyeongHyeon Nam, Anna Puskás
We study character varieties arising as moduli of representations of an orientable surface group into a reductive group . We first show that if acts freely on the represen…