Zobrazeno 1 - 10
of 190
pro vyhledávání: '"Venkatesh, Akshay"'
We propose a duality in the relative Langlands program. This duality pairs a Hamiltonian space for a group $G$ with a Hamiltonian space under its dual group $\check{G}$, and recovers at a numerical level the relationship between a period on $G$ and a
Externí odkaz:
http://arxiv.org/abs/2409.04677
Autor:
Bai, Shaojie, Wang, Te-Li, Li, Chenghui, Venkatesh, Akshay, Simon, Tomas, Cao, Chen, Schwartz, Gabriel, Wrench, Ryan, Saragih, Jason, Sheikh, Yaser, Wei, Shih-En
Publikováno v:
ACM Trans. Graph. 43, 4, Article 93 (July 2024), 22 pages.
Faithful real-time facial animation is essential for avatar-mediated telepresence in Virtual Reality (VR). To emulate authentic communication, avatar animation needs to be efficient and accurate: able to capture both extreme and subtle expressions wi
Externí odkaz:
http://arxiv.org/abs/2407.13038
We give a new proof of a Fourier interpolation result first proved by Radchenko-Viazovska, deriving it from a vanishing result of the first cohomology of a Fuchsian group with coefficients in the Weil representation.
Externí odkaz:
http://arxiv.org/abs/2406.19511
Autor:
Chen, Eric Y., Venkatesh, Akshay
Relative Langlands duality structures the study of automorphic periods around a putative duality between certain group actions of Langlands dual reductive groups. In this article, after giving a self-contained exposition of the relevant ingredients f
Externí odkaz:
http://arxiv.org/abs/2405.18212
Autor:
Abdurrahman, Amina, Venkatesh, Akshay
We propose (and prove under some restrictions) that the square class of the central value of the $L$-function of an everywhere unramified symplectic Galois representation is given by a universal cohomological formula. This phenomenon is parallel to t
Externí odkaz:
http://arxiv.org/abs/2303.13436
Publikováno v:
In Innovations in Computer Science and Engineering, pp. 63-72. Springer, Singapore, 2021
In this paper, we present a characteristic extraction algorithm and the Multi-domain Image Characteristics Dataset of characteristic-tagged images to simulate the way a human brain classifies cross-domain information and generates insight. The intent
Externí odkaz:
http://arxiv.org/abs/2210.09053
We study the action of the derived Hecke algebra in the setting of dihedral weight one forms, and prove a conjecture of the second- and fourth- named authors relating this action to certain Stark units associated to the symmetric square L-function. T
Externí odkaz:
http://arxiv.org/abs/2207.01304
Let $X$ be a quasi-projective variety over a number field, admitting (after passage to $\mathbb{C}$) a geometric variation of Hodge structure whose period mapping has zero-dimensional fibers. Then the integral points of $X$ are sparse: the number of
Externí odkaz:
http://arxiv.org/abs/2109.01043
Autor:
Sharifi, Romyar, Venkatesh, Akshay
Several authors have studied homomorphisms from first homology groups of modular curves to the second K-group of a cyclotomic ring or a modular curve X. These maps send Manin symbols in the homology groups to Steinberg symbols of cyclotomic or Siegel
Externí odkaz:
http://arxiv.org/abs/2011.07241
Autor:
Venkatesh, Akshay1 (AUTHOR)
Publikováno v:
Bulletin (New Series) of the American Mathematical Society. Apr2024, Vol. 61 Issue 2, p203-210. 8p.