Galois theory [kasetvideo]

Subjects: “…Galois theory…”

Galois conjugation and multiboundary entanglement entropy by Matthew Buican, Rajath Radhakrishnan

“…Abstract We revisit certain natural algebraic transformations on the space of 3D topological quantum field theories (TQFTs) called “Galois conjugations.” …”
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Galois orbits of TQFTs: symmetries and unitarity by Matthew Buican, Rajath Radhakrishnan

“…Abstract We study Galois actions on 2+1D topological quantum field theories (TQFTs), characterizing their interplay with theory factorization, gauging, the structure of gapped boundaries and dualities, 0-form symmetries, 1-form symmetries, and 2-groups. …”
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Infinite Galois theory and profinite groups by Loh, Colin Jia Sheng

“…This paper aims to provide an exposition on infinite Galois extensions and profinite groups as well as some applications of Galois theory through six chapters. …”
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The Nakano–Nishijima–Gell-Mann Formula from Discrete Galois Fields by Keiji Nakatsugawa, Motoo Ohaga, Toshiyuki Fujii, Toyoki Matsuyama, Satoshi Tanda

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Multiple zeta values and iterated Eisenstein integrals by Saad, A

Rationalizing CFTs and anyonic imprints on Higgs branches by Matthew Buican, Zoltan Laczko

“…In particular, we argue that certain universal pieces of the topological data underlying the 2D chiral algebra representations associated with the 4D infrared (IR) theory can be computed, via Galois conjugation, in the topological quantum field theory (TQFT) underlying the unitary ultraviolet (UV) chiral RCFT. …”
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Étale homotopy sections of algebraic varieties by Haydon, J

18.785 Number Theory I, Fall 2016 by Sutherland, Andrew

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18.785 Number Theory I, Fall 2019 by Sutherland, Andrew

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18.785 Number Theory I, Fall 2017 by Sutherland, Andrew

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Arithmetic Chern-Simons Theory II by Chung, H, Kim, D, Kim, M, Park, J, Yoo, H

“…We apply ideas of Dijkgraaf and Witten on three-dimensional topological quantum field theory to arithmetic curves, that is, the spectra of rings of integers in algebraic number fields. …”

Group-theoretic Johnson classes and a non-hyperelliptic curve with torsion Ceresa class by Dean Bisogno, Wanlin Li, Daniel Litt, Padmavathi Srinivasan

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Noncommutative motives in positive characteristic and their applications by Tabuada, Gonçalo

“…Then, we introduce the noncommutative motivic Galois (super-)groupsand, following aninsight of Kontsevich, relate them to their classical commutative counterparts.Finally, we explain how the motivic measure induced by Berthelot’s rigid cohomology can be recovered from the theory of noncommutativemotives.…”
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New directions in general fuzzy automata: a dynamic-logical view by Khadijeh Abolpour, Mohammad mehdi Zahedi, Marzieh Shamsizadeh

“…Such operators help us in the algebraic study of general fuzzy automata theory and provide a platform to use fuzzy topological therein. …”
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Groups of profinite type and profinite rigidity by Bar-On, T, Nikolov, N

“…<p>We say that a group 𝐺 is of&nbsp;<em>profinite type</em>&nbsp;if it can be realized as a Galois group of some field extension. Using Krull&rsquo;s theory, this is equivalent to 𝐺 admitting a profinite topology. …”