New Submissions to TMLRNoncommutative $C^*$-algebra Net: Learning Neural Networks with Powerful Product Structure in $C^*$-algebra
Erwin Schrödinger InstituteWe got started with a workshop on #noncommutative #geometry and #topological #recursion yesterday. 📐Stay tuned on our website 🚩 www.esi.ac.at and on our YT Channel: https://www.youtube.com/channel/UCUHyfvOFOuaUumnWaVrtfaQ/videos
This tweet is a joint work with Carlos I. Pérez Sánchez, a workshop participant and Junior Research Fellow at ESI, we thank him for his cooperation. We are also grateful for his helping out with the operation of the video streaming equipment in the lecture hall.
On the first photo, Margarida Melo from @UnivRoma3 is holding her talk on the #tropicalisation of the universal #Jacobian. Her talk is already online on our YouTube Channel. 📹 (24th April 2023)
Another successful workshop has come to an end. 🎉 We thank you for your visit and hope to see you soon! (28th April 2023)
Check out all recordings of this workshop now on our YouTube Channel ⤵️
https://youtube.com/watch?v=P5HPgbLZXns&list=PLjvY6sC_0lhIut4M_Z3hlrfEb7HgLJEh3 (11th May 2023)
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
The Erwin Schrödinger International Institute for Mathematics and Physics, founded in 1993 and part of the University of Vienna since 2011, is committed to the promotion of scholarly research in mathematics and physics. In the beginning its focus was on mathematical physics and mathematics and it has gained an international reputation in these fields of research. Over the years, the thematic spectrum of its scientific activities has been carefully extended, while maintaining high scientific standards. Recently, the ESI has enlarged its fields of competence to include theoretical, computational and experimental aspects of mathematics and physics. It is the Institute’s foremost objective to advance scientific knowledge over broad ranges of fields and themes in mathematics and physics, with an emphasis on the interface between them.
⎯ΘωΘ⟶every #system is #holographically #coupled to the #cosmic #vacuum (the #ground), the #noncommutative #boundary of the #cosmos as a #geometric #structure
the #big #bang is #ever #present and #essentially #eternal
#karma is #dialogue with the #ground of the #self and #all #becoming
Refurio AnachroThere's not too much maths in it, but they do explain how and where to apply #differential #geometry when it comes to eels.
Further, I really like Sean's picture of parallel parking a car as everyday example for a #noncommutative space. Which is secretly an example for a noncommutative differential geometry. As most of these are.
黒木玄 Gen Kuroki#algebra #quantum #noncommutative
https://mathtod.online/@sr_ambivalence/642541
これも素朴で広がりのあるよい質問。
非可換なA,Bに関するexp(A+B)については
Baker-Campbell-Hausdorff
を検索するとよいと思います。
所謂 "FAQ" の一つです。
[A,B]=C, [A,C]=[B,C]=0 の場合の exp(A+B)とexp(A)とexp(B)の関係は本質的にボソンのWickの定理と同等になっています。 Wickの定理の母函数表示は指数函数で書けます。
物理学科的にはマスターしておいた方が良さそうな数学だと思います。
BCH公式の証明の私による解説が次のリンク先にあります。
https://www.math.tohoku.ac.jp/~kuroki/LaTeX/20081010_Baker-Campbell-Hausdorff.pdf