IUTを読むための用語集資料スレ2

[過去ﾛｸﾞ] IUTを読むための用語集資料スレ2 (489ﾚｽ)
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90: １３２人目の素数さん [] 2021/04/14(水) 21:58:09.78 ID:xXqRObsR

>>85
>John Carlos Baez / Azimuthは、ちょっと大物かも
>David Roberts は、三流だと思うが

John Carlos Baezは、一流ですね（下記）
（参考）
https://en.wikipedia.org/wiki/Timeline_of_category_theory_and_related_mathematics
Timeline of category theory and related mathematics

1995 John Baez-James Dolan Opetopic sets (opetopes) based on operads. Weak n-categories are n-opetopic sets.
1995 John Baez-James Dolan Introduced the periodic table of mathematics which identifies k-tuply monoidal n-categories. It mirrors the table of homotopy groups of the spheres.
1995 John Baez?James Dolan Outlined a program in which n-dimensional TQFTs are described as n-category representations.
1995 John Baez?James Dolan Proposed n-dimensional deformation quantization.
1995 John Baez?James Dolan Tangle hypothesis: The n-category of framed n-tangles in n + k dimensions is (n + k)-equivalent to the free weak k-tuply monoidal n-category with duals on one object.

つづく

http://rio2016.5ch.net/test/read.cgi/math/1606813903/90

91: １３２人目の素数さん [] 2021/04/14(水) 21:58:39.03 ID:xXqRObsR

>>90
つづき

1995 John Baez-James Dolan Cobordism hypothesis (Extended TQFT hypothesis I): The n-category of which n-dimensional extended TQFTs are representations, nCob, is the free stable weak n-category with duals on one object.
1995 John Baez-James Dolan Stabilization hypothesis: After suspending a weak n-category n + 2 times, further suspensions have no essential effect. The suspension functor S: nCatk→nCatk+1 is an equivalence of categories for k = n + 2.
1995 John Baez-James Dolan Extended TQFT hypothesis II: An n-dimensional unitary extended TQFT is a weak n-functor, preserving all levels of duality, from the free stable weak n-category with duals on one object to nHilb.

https://en.wikipedia.org/wiki/John_C._Baez
John Carlos Baez (/?ba??z/; born June 12, 1961) is an American mathematical physicist and a professor of mathematics at the University of California, Riverside (UCR)[2] in Riverside, California. He has worked on spin foams in loop quantum gravity, applications of higher categories to physics, and applied category theory.

Baez is also the author of This Week's Finds in Mathematical Physics,[3] an irregular column on the internet featuring mathematical exposition and criticism.
(引用終り)
以上

http://rio2016.5ch.net/test/read.cgi/math/1606813903/91

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