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pro vyhledávání: '"Nam, Gyeonghyeon"'
We count points on the character varieties associated with punctured surfaces and regular semisimple generic conjugacy classes in reductive groups. We find that the number of points are palindromic polynomials. This suggests a $P=W$ conjecture for th
Externí odkaz:
http://arxiv.org/abs/2409.04735
In [GTZ08, GTZ12], the following result was established: given polynomials $f,g\in\mathbb{C}[x]$ of degrees larger than $1$, if there exist $\alpha,\beta\in\mathbb{C}$ such that their corresponding orbits $\mathcal{O}_f(\alpha)$ and $\mathcal{O}_g(\b
Externí odkaz:
http://arxiv.org/abs/2408.06937
Autor:
Lee, Jungin, Nam, Gyeonghyeon
In this paper, we prove the converse of the dynamical Mordell--Lang conjecture in positive characteristic: For every subset $S \subseteq \mathbb{N}_0$ which is a union of finitely many arithmetic progressions along with finitely many $p$-sets of the
Externí odkaz:
http://arxiv.org/abs/2403.05107
Autor:
Letellier, Emmanuel, Nam, GyeongHyeon
We know from Letellier that if for some triple of partitions the corresponding Kronecker coefficient is non-zero then the corresponding multiplicities for unipotent characters of GL(n,q) is also non-zero. A conjecture of Saxl says that the tensor squ
Externí odkaz:
http://arxiv.org/abs/2312.09157
We study character varieties arising as moduli of representations of an orientable surface group into a reductive group $G$. We first show that if $G/Z$ acts freely on the representation variety, then both the representation variety and the character
Externí odkaz:
http://arxiv.org/abs/2209.02171
We study character varieties arising as moduli of representations of an orientable surface group into a reductive group $G$. We first show that if $G/Z$ acts freely on the representation variety, then both the representation variety and the character
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::843f360809efecca193acf2c0cd292c7