Mirror Symmetry, Swarm Intelligence, Calibi Yau, GAN, SNNs, Econophysics

Hey Readers,

I am back again with a new blogpost on Saturday morning 5:30 AM. I got lot of inquiries about Dennis Sullivan and his amazing victory on Abel Prize. One of the best papers I have read by Dennis Sullivan is Circle Packing (off course my NLP, Reinforcement Learning, Ant Colony Optimization, Profiling etc. based prediction on last 50 years of math research papers is taking shape with Bhargav Bhatt's Hodge Theory, Maryna Viazovska's sphere packing etc. while off course Terence Tao has just published another paper on Sphere packing.. Sphere packing seems trend of the year while I am already thinking Duck pack algorithm — A new swarm intelligence algorithm for route planning based on imprinting behavior).. 

I also used to write a lot about Econophysics, String Theory (M-Theory etc. as I was big fan of Stephen Hawkings and probably had entire Brief History of Time by heart that time) Hodge Theory, Hodge Decomposition of information flow in networks & its impact on markets. 

Perelman's 2008 paper The entropy formula for the Ricci flow and its geometric applications says that he did not know enough about Blackholes & (pseudo)-riemannian geometry, Ricci Flow, Black Hole Thermodynamics, etc https://arxiv.org/pdf/math/0211159.pdf

Hence, I thought a perfect way to apply Perelman's work was AI, Data Science (please see my Ricci Flow- https://www.youtube.com/watch?v=z_pjsJisdHQ&t=26s ) & Econophysics using black hole thermodynamics etc. 

I see few papers published on this topic these days -

1. Trading networks and Hodge theory - https://iopscience.iop.org/article/10.1088/2399-6528/abd1c2/pdf

2. Semiparametric Estimates of Monetary Policy Effects: String Theory Revisited - https://economics.mit.edu/files/13030

3. Ricci Solitons & Black Holes - http://dspace.rri.res.in/bitstream/2289/3857/2/Chapter_7.pdf

4. Entropy of Reissner–Nordström 3D Black Hole in Roegenian Economics - https://www.semanticscholar.org/paper/Entropy-of-Reissner%E2%80%93Nordstr%C3%B6m-3D-Black-Hole-in-Udriste-Ferrara/fb2052f27e6700fed05ae259d63232639b465643

 

I used to write a lot about swarm intelligence (ant colony optimization etc.) on Google Plus, G-spaces long time back on this blog to give mathematical meaning to Google Plus (Hodge Cycle, Supersymmetric Yang Mills, Social Collider etc.) & also give some movie meaning to it. Also, I wrote a lot about Ricci Flow (Used to prove Poincare Conjecture) -

1. Meet the parents, Circle of Trust and Google Plus - https://www.kdnuggets.com/2013/10/circle-trust-google-plus.html

2. Yang-Mills: A million dollar connection between Twitter and quantum physics - https://www.kdnuggets.com/2013/11/yang-mills-million-dollar-connection-twitter-quantum-physics.html

3. A lot about Ricci Flow, Group theory, Quantum Groups (remember Sir Atiyah's 1984 paper with TIFR which I cited few blogposts back)

4. I also wrote a lot about applications of deep learning & swarm intelligence to solve mathematical conjectures 

Hence the new orchestration which Cao & Zhao might like (as I see their paper on Calabi Yau, Machine Learning and Convolutional Neural Networks .. I would like to see possible use of Geodesic Convolutional Neural Networks) on Yang Mills which also uses Maryam Mirzakhani's concept on Mirror Symmetry in Spiking Neural Networks...