The seminar will resume
this summer at a later time.
Thursday, May 20, 2021
Wednesday, April 28, 2021
SPRING 2021
29 Apr 2021
Jerzy Kocik
Lie algebra in graphical language
for pedestrians
(with a tinge of category theory)
[video]
Remark on summation convetion: When an expression has a repeated index, once as a superscript and once as a subscript, the summation over this index is implied, for instance $$A^j_iv^i \equiv \sum_iA^j_iv^i$$ I forgot to mention it at the beginning of the talk.
Tuesday, April 20, 2021
SPRING 2021
22 Apr 2021
Derek Hostalek
Blockchain Math without Speculation
[Video]
https://bitcoin.org/bitcoin.
https://www.egr.msu.edu/~
https://www.blockchain.com
Wednesday, April 14, 2021
Wednesday, March 31, 2021
SPRING 2021
[1 April seminar is cancelled]
8 April 2021
Borzu Toloui
The Descriptor Picture of Quantum Mechanics
(Part 3 -- conclusions)
Video 3 (starts at 20th minute)
[2 pm, zoom link at the top]
Borzu suggests these papers for further insights:
- https://arxiv.org/pdf/quant-ph/9906007.pdf
- https://arxiv.org/pdf/quant-ph/0104033.pdf
- https://arxiv.org/pdf/2012.11189.pdf
- https://arxiv.org/pdf/2001.09646.pdf
- https://arxiv.org/pdf/quant-ph/0609085.pdf
- https://arxiv.org/pdf/1109.6223.pdf
Wednesday, March 17, 2021
SPRING 2021
18 and 25 March 2021
Borzu Toloui
The Descriptor Picture of Quantum Mechanics
(Part1 and Part 2)
Here is the link to a relevant paper:
[For basics on quantum computing see Lomonaco's "Roseta Stone"]
Wednesday, March 10, 2021
Spring 2021
11 Mar 2021
Revival of the seminar!
A general chat + a possible talk:
Jerzy Kocik
On a certain discrete matrix group
Sunday, December 6, 2020
Autumn 2020
Our seminar takes a break till the next semester (January). Thank you everybody for participating! Please use this space for sharing comments and interesting or relevant items. Use comments or send me a material to be posted.
Happy physical, spiritual, and mental transition to 2021!
From now on we shall use a permanent zoom address; see below.
Note that the link is also displayed in the right margin column.
Thursdays 2pm for seminar, any time for a chat:
Meeting ID: 923 4934 3807, Passcode: 426631
You may also join by Skype for Business.
Saturday, November 14, 2020
Autumn 2020
19 Nov and 3 Dec 2020
K. V. Shajesh
Casimir Effect
Thursdays 2pm for seminar, any time for a chat:
Meeting ID: 923 4934 3807, Passcode: 426631
You may also join by Skype for Business.
Wednesday, November 4, 2020
Autumn 2020
5 and 12 Nov 2020
Jerzy Kocik
Integrality implies super-integrality and hyper-integrality
Part 2: Disks as vectors in Minkowski space, inversions, and conclusion of the proof.
See Apolloniana for some background
Recording of Part 1
Recording of Part 2
Part 1: Here are two warm-up problems (related, but not central):
Suppose 4 integers do not have a common factor, gcd(a,b,c,d)=1, and satisfy quadratic equation $$(a+b+c+d)^2 = 2\, (a^2+b^2+c^2+d^2)$$ Show that:
1. Exactly two of them are odd (easy)
2. The sum of any two can be written as a sum of two squares (a challenge)
Examples of solutions to the quadratic equation: (2,3,6,23), (2,3,15,38), (3,6, 14 47), (0,1,4,9), (11,14,15,89),...
Part 1: Here are two warm-up problems (related, but not central):
Suppose 4 integers do not have a common factor, gcd(a,b,c,d)=1, and satisfy quadratic equation $$(a+b+c+d)^2 = 2\, (a^2+b^2+c^2+d^2)$$ Show that:
1. Exactly two of them are odd (easy)
2. The sum of any two can be written as a sum of two squares (a challenge)
Examples of solutions to the quadratic equation: (2,3,6,23), (2,3,15,38), (3,6, 14 47), (0,1,4,9), (11,14,15,89),...
Wednesday, October 28, 2020
Autumn 2020
29 Oct 2020
Don Redmond
Algebra via geometry
Here are Don's notes for the seminar. (Version of 29 Oct 20)
Wednesday, October 21, 2020
Autumn 2020
22 Oct 2020
Jerzy Kocik
Quaternions and Alice in Wonderland
16 October was an anniversary of the discovery of quaternions. In celebration, let's have a rather informal conversation if quaternions indeed motivated Lewis Carroll tow describe the infamous 6 o'clock mad tea-party. For your convenience some material:
- Mad Tea Party -- Chapter VII of Carroll's book (must read! Just a few pages)
- Devlin's blog describing the claim (here is the extracted text)
- Bayley's text of 2009 (the origin of the claim), 6 pages
- Helena Pycior 1984 (the ultimate origin?), 22 pages
- The whole Carroll's text (if you want to recall it): Adobe or here.
NEW:
- Kalpa is sharing a book "Quaternion Fourier Transforms for Signal and Image Processing". He comments: First two chapters are easy to follow. Applications start from Chapter 4
Subscribe to:
Posts (Atom)