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pro vyhledávání: '"Hendel, Yotam I"'
Let $G$ be a reductive group over a local field $F$ of characteristic $0$. By Harish-Chandra's regularity theorem, the character $\Theta_{\pi}$ of an irreducible, admissible representation $\pi$ of $G$ is given by a locally integrable function $\thet
Externí odkaz:
http://arxiv.org/abs/2312.01591
Given a map $\phi:X\rightarrow Y$ between $F$-analytic manifolds over a local field $F$ of characteristic $0$, we introduce an invariant $\epsilon_{\star}(\phi)$ which quantifies the integrability of pushforwards of smooth compactly supported measure
Externí odkaz:
http://arxiv.org/abs/2202.12446
Publikováno v:
Alg. Number Th. 17 (2023) 2229-2260
We provide uniform estimates on the number of $\mathbb{Z}/p^{k}\mathbb{Z}$-points lying on fibers of flat morphisms between smooth varieties whose fibers have rational singularities, termed (FRS) morphisms. For each individual fiber, the estimates we
Externí odkaz:
http://arxiv.org/abs/2103.00282
Autor:
Glazer, Itay, Hendel, Yotam I.
We study singularity properties of word maps on semisimple algebraic groups and Lie algebras, generalizing the work of Aizenbud-Avni in the case of the commutator map. Given a word $w$ in a free Lie algebra $\mathcal{L}_{r}$, it induces a word map $\
Externí odkaz:
http://arxiv.org/abs/1912.12556
Autor:
Glazer, Itay, Hendel, Yotam I.
Let $K$ be a field of characteristic zero, $X$ and $Y$ be smooth $K$-varieties, and let $G$ be a algebraic $K$-group. Given two algebraic morphisms $\varphi:X\rightarrow G$ and $\psi:Y\rightarrow G$, we define their convolution $\varphi*\psi:X\times
Externí odkaz:
http://arxiv.org/abs/1811.09838
Autor:
Hendel, Yotam I.
For a locally compact, totally disconnected group $G$, a subgroup $H$ and a character $\chi:H \to \mathbb{C}^{\times}$ we define a Hecke algebra $\mathcal{H}_\chi$ and explore the connection between commutativity of $\mathcal{H}_\chi$ and the $\chi$-
Externí odkaz:
http://arxiv.org/abs/1807.02843
Autor:
Glazer, Itay, Hendel, Yotam I.
Publikováno v:
Selecta Math. (N.S.) 25 (2019), no. 1, Art. 15, 41 pp
Let $K$ be a field of characteristic zero, $X$ and $Y$ be smooth $K$-varieties, and let $V$ be a finite dimensional $K$-vector space. For two algebraic morphisms $\varphi:X\rightarrow V$ and $\psi:Y\rightarrow V$ we define a convolution operation, $\
Externí odkaz:
http://arxiv.org/abs/1801.02920
Autor:
Hendel, Yotam I.
Publikováno v:
J. Algebra 519 (2019), 1-38
Let $F/\mathbb{Q}_p$ be a finite extension. We explore the universal supersingular mod $p$ representations of $\mathrm{GL}_2(F)$ through computing a basis of their invariant space under the pro-$p$ Iwahori subgroup. This generalizes works of Breuil a
Externí odkaz:
http://arxiv.org/abs/1506.08050
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