Mathematical Summer Conversations 10

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23 and 30 July

Philip Feinsilver

^Wrapped with Python

Part 1:  Recording

Part 2:  Recording

Mathematical Summer Conversations 8 and 9

9 and 16 July 2020
Jerzy Kocik
Apollonian depth fractal 
      -- an unexpected addendum
(spinors, Dedekind, and more)

Recording - part 1 -- sorry for the ink bleeding.  Never again a pen in PowerPoint! 
Recording - part 2 

Related texts:

• Apollonian depth and the accidental fractal (35 pages, arXiv:2002.04135) 
• Spinors and the Descartes configuration of circles , (21 pages, arXiv:1909.06994) 

For part 2:

• On a Diophantine equation that generates all integral Apollonian disk packings ISNR Geometry, 17 2007 pp. 71-93.
• Spinors, lattices, and classification of integral Apollonian disk packings. (35 pages, arXiv:2001.05866)
• On the Dedekind tessellation (16 pages, arXiv:1912.05768)
• The Dedekind tessellation by Lievenlb.

Mathematical Summer Conversations 7

Click on the image to see details

2 July 2020

Dinush Lanka
Ford circles and spin networks

Recording

Mathematical Summer Conversations 6

25 June 2020

Robert Owczarek
Kauffman,  Chebyshev, Fibonacci, Lucas

Recording

Mathematical Summer Conversations 5

18 June 2020
Mike Sullivan
Lens spaces

• Recording
• Slides from the talk 
• The table
• References

Mathematical Summer Conversations 4

Eugène Charles Catalan

11 June 2020

Philip Feinsilver

Factorials, Catalan's, Krawtchouk's

Suggested pre-presentation reading

• Recording (with occasional tech problems)
• Notes from the talk
• Here a Krawtchouk matrices for your experimentation (for instance try to square them...)

Mathematical Summer Conversations 3

4 June 2020

Hanna Makaruk
Uncertainty about Uncertainty
Hanna's talk  (pdf slides)

Hanna's email:  <hanna_m@lanl.gov>
She invites comments, questions, and suggestions.

Mathematical Summer Conversations 2

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28 May 2020
Borzu Toloui 
A short introduction to Constructor Theory: A new mode of explanation in physics and beyond

• Recording of the meeting 
• Constructor Theory Homepage

If you are interested, please send your questions to Borzu or me, or add them to the comments area.  We will ask Borzu for another Q&A session in the near future.

Mathematical Summer Conversations

21 May 2020
John McSorley
Combinatorial miscellanea and gossip

Here is the PDF of the talk.

Recording:  1. The first 2 min.  2. The main body, 50 min.

connections

14 May, 2020 

Philip Feinsilver

Secret passage through Lie algebras, recurrences, and polynomials

• Recording (about 1 hr)
• File from the talk (annotated, 5MB)
• The same file, clean  (69 KB)

Light

From https://meanjin.com.au/blog/the-slow-light-of-truth/

6 May 2020
(Note -- WEDNESDAY)

Mohammad Sayeh

Slow light  (photons calmed)


[recording]




Two papers (click): 

• Stopped light
• Slow light

And the book suggested by Mohammad:  "Fast Light, Slow Light and Left-Handed Light" by P W Milonni, 2005.  [Amazon,  PDF]

In comments use dollar signs and latex to get math formating.  For instance $\frac{7}{3}=\det\begin{bmatrix}a&b\\ c&d\end{bmatrix}$.

Interlude 2

On the brighter note, here are books that some of our participants might find interesting and that Springer kindly allows you to download as a part of covid-19 "relieve":

• Ramin Takloo-Bighash: A Pythagorean Introduction to Number Theory.  Right Triangles, Sums of Squares, and Arithmetic
• Gerard O'Regan: Guide to Discrete Mathematics.  An Accessible Introduction to the History, Theory, Logic and Applications
• M. de Berg (at al):  Computational Geometry. Algorithms and Applications
• Hans Peters:  Game Theory. A Multi-Leveled Approach
• M. Aigner, G. Ziegler: Proofs from THE BOOK

• Philipp O.J. Scherer:  Computational Physics. Simulation of Classical and Quantum Systems
• Benjamin Stickler, E.Schachinger: Basic Concepts in Computational Physics
• Hans Petter Langtangen: A Primer on Scientific Programming with Python
• John Hunt: A Beginners Guide to Python 3 Programming 
• Ben Stephenson: The Python Workbook. A Brief Introduction with Exercises and Solutions

• Jakob Schwichtenberg: Physics from Symmetry
• Dresselhaus, Jorio: Group Theory.  Application to the Physics of Condenced Matter
• W. Fulton, J. Harris: Representation Theory.A First Course
• Sadri Hassani: Mathematical Physics. A Modern Introduction to Its Foundations
• Travis Norsen: Foundations of Quantum Mechanics.  An Exploration of the Physical Meaning of Quantum Theory
• Paul R. Berman: Introductory Quantum Mechanics. A Traditional Approach Emphasizing Connections with Classical Physics
• Daniel Bes: Quantum Mechanics. A Modern and Concise Introductory Course
• Jochen Pade: Quantum Mechanics for Pedestrians 1,  Fundamentals
• Jochen Pade: Quantum Mechanics for Pedestrians 2, Applications and Extensions
• Cosimo Bambi: Introduction to General Relativity.  A Course for Undergraduate Students of Physics

• Sheldon Axler: Linear Algebra Done Right
• Giovanni Landi, A. Zampini: Linear Algebra and Analytic Geometry for Physical Sciences
• Peter J. Olver, Chehrzad Shakiban: Applied Linear Algebra
• Roman Kossak:  Mathematical Logic,  On Numbers, Sets, Structures, and Symmetry
• Stephen Abbott:  Understanding Analysis
• Kenneth Ross:  Elementary Analysis.  The Theory of Calculus

• Lars-Göran Johansson: Philosophy of Science for Scientists
• Kevin McCain: The Nature of Scientific Knowledge, An Explanatory Approach

• Karl F. Renk: Basics of Laser Physics.  

• Dilip Datta: LaTeX in 24 Hours. A Practical Guide for Scientific Writing
• M. Jalongo, O Saracho: Writing for Publication. Transitions and Tools that Support Scholars’ Success
• Michael Guest:  Conferencing and Presentation English for Young Academics. For Students of Science and Engineering  

For more, see here.