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pro vyhledávání: '"Etingof, P."'
Autor:
Etingof, Pavel, Liu, Henry
This is an expanded version of the notes by the second author of the lectures on Hitchin systems and their quantization given by the first author at the Beijing Summer Workshop in Mathematics and Mathematical Physics ``Integrable Systems and Algebrai
Externí odkaz:
http://arxiv.org/abs/2409.09505
Autor:
Etingof, Pavel
These are expanded notes of a course on basics of quantum field theory for mathematicians given by the author at MIT.
Comment: 206 pages, latex
Comment: 206 pages, latex
Externí odkaz:
http://arxiv.org/abs/2409.03117
We study the number of indecomposable summands in tensor powers of the vector representation of SL2. Our main focus is on positive characteristic where this sequence of numbers and its generating function show fractal behavior akin to Mahler function
Externí odkaz:
http://arxiv.org/abs/2405.16786
Autor:
Etingof, Pavel, Rains, Eric
An important function attached to a complex simple Lie group $G$ is its asymptotic character $X(\lambda,x)$ (where $\lambda,x$ are real (co)weights of $G$) - the Fourier transform in $x$ of its Duistermaat-Heckman function $DH_\lambda(p)$ (continuous
Externí odkaz:
http://arxiv.org/abs/2405.10341
Kac's ten-dimensional simple Jordan superalgebra over a field of characteristic 5 is obtained from a process of semisimplification, via tensor categories, from the exceptional simple Jordan algebra (or Albert algebra), together with a suitable order
Externí odkaz:
http://arxiv.org/abs/2404.01719
In this article we continue the study of holonomic modules over sheaves of Cherednik algebras, initiated by the third author in [Tho18]. Working with arbitrary parameters, we first develop a theory of $b$-functions to prove that push-forward along op
Externí odkaz:
http://arxiv.org/abs/2402.18210
Autor:
Etingof, Pavel
Publikováno v:
SIGMA 20 (2024), 063, 8 pages
We prove a conjecture of D. Gaiotto on positivity of inner products arising in studying Landau-Ginzburg boundary conditions in the 1-dimensional case, and in special cases in higher dimensions, for 3d free hypermultiplets.
Externí odkaz:
http://arxiv.org/abs/2402.17174
Autor:
Etingof, Pavel, Varchenko, Alexander
In arXiv:2401.00636 we introduced the notion of a periodic pencil of flat connections on a smooth algebraic variety $X$. Namely, a pencil is a linear family of flat connections $\nabla(s_1,...,s_n)=d-\sum_{i=1}^r\sum_{j=1}^ns_jB_{ij}dx_i$, where $\lb
Externí odkaz:
http://arxiv.org/abs/2401.05652
Autor:
Etingof, Pavel
These are notes of a graduate course on representations of non-compact semisimple Lie groups given by the author at MIT.
Comment: 148 pages; small changes and new references in version 2
Comment: 148 pages; small changes and new references in version 2
Externí odkaz:
http://arxiv.org/abs/2401.01446
Autor:
Etingof, Pavel, Varchenko, Alexander
We introduce a new notion of a periodic pencil of flat connections on a smooth algebraic variety $X$. This is a family $\nabla(s_1,...,s_n)$ of flat connections on a trivial vector bundle on $X$ depending linearly on parameters $s_1,...,s_n$ and gene
Externí odkaz:
http://arxiv.org/abs/2401.00636