Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Iyengar, Ashwin"'
We establish a geometric analog of the Casselman-Shalika formula for a split connected reductive group over a mixed characteristic local field. In particular, we construct sheaves on the Witt vector affine Grassmannian which geometrize the Fourier co
Externí odkaz:
http://arxiv.org/abs/2408.07953
Autor:
Bakeberg, Jacksyn, Gerbelli-Gauthier, Mathilde, Goodson, Heidi, Iyengar, Ashwin, Moss, Gilbert, Zhang, Robin
For $q$ a power of a prime $p$, we study gamma factors of representations of $GL_n(\mathbb{F}_q)$ over an algebraically closed field $k$ of positive characteristic $\ell \neq p$. We show that the reduction mod $\ell$ of the gamma factor defined in ch
Externí odkaz:
http://arxiv.org/abs/2307.07593
We show that crystalline points are Zariski dense in the deformation space of a representation of the absolute Galois group of a $p$-adic field. We also show that these points are dense in the subspace parameterizing deformations with determinant equ
Externí odkaz:
http://arxiv.org/abs/2206.06944
We show that framed deformation rings of mod $p$ representations of the absolute Galois group of a $p$-adic local field are complete intersections of expected dimension. We determine their irreducible components and show that they and their special f
Externí odkaz:
http://arxiv.org/abs/2110.01638
Autor:
Iyengar, Ashwin
Publikováno v:
IMRN (2020) 1-40
We study the rigid generic fiber $\mathcal{X}^\square_{\overline\rho}$ of the framed deformation space of the trivial representation $\overline\rho: G_K \to \text{GL}_n(k)$ where $k$ is a finite field of characteristic $p>0$ and $G_K$ is the absolute
Externí odkaz:
http://arxiv.org/abs/1904.05996
Autor:
Böckle, Gebhard1 gebhard.boeckle@iwr.uni-heidelberg.de, Iyengar, Ashwin2 iyengar@jhu.edu, Paškunas, Vytautas3 paskunas@uni-due.de
Publikováno v:
Forum of Mathematics, Pi. 10/26/2023, Vol. 11, p1-54. 54p.
Publikováno v:
In International Journal of Heat and Mass Transfer October 2016 101:667-681
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America; 3/28/2023, Vol. 120 Issue 13, p1-7, 7p
We show that framed deformation rings of mod $p$ representations of the absolute Galois group of a $p$-adic local field are complete intersections of expected dimension. We determine their irreducible components and show that they and their special f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc571047b645df627d8ab33259135c75
http://arxiv.org/abs/2110.01638
http://arxiv.org/abs/2110.01638
Autor:
Iyengar, Ashwin
Publikováno v:
IMRN: International Mathematics Research Notices; Nov2020, Vol. 2020 Issue 22, p8896-8935, 40p