css.phpArchive 2021 JMM AMS Special Session on Quaternions

The 2021 JMM was virtual due to COVID19

Scroll down for videos of
Quaternion Special Session
and links to abstracts


Joint Mathematics Meetings

  • January 6-9, 2021 (Wednesday – Saturday)
  • Meeting #1163

Associate secretaries:

Brian D. Boe, AMS brian@math.uga.edu
Hortensia Soto, MAA hortensia.soto@colostate.edu

AMS Special Session on Quaternions I & II

AMS Special Session on Quaternions I (Morning session)

Thursday January 7, 2021, 8:00 a.m.-11:50 a.m.
AMS Special Session on Quaternions, I
Organizers:
Johannes Familton, Borough of Manhattan Community College jfamilton@bmcc.cuny.edu
Terrence Blackman, Medgar Evers College
Chris McCarthy, Borough of Manhattan Community College

Click on the titles below to download the abstract.

The Quaternions video from Session I contains the presentations:
(00:00 to 30:00) Johannes Familton. Olinde Rodrigues’ most famous work.
(30:00 to 50:00) Sultan Catto. Role of Quaternions, Octonions, Jordan and related algebras in physics.
(57:00 to 1:19:00) Zachary Hilliard and Alex Kasman. Tail Behavior and Non-Uniqueness of Quaternion-Valued KdV 1-Solitons.
(1:19:00 to 1:49.00) Terrence Blackman. Spectral Correspondences for Mass Waveforms on Quaternion Groups.
(1:49:00 to 2:14.00) Aleks Kleyn. Calculus over quaternion algebra.
(2:14.00 to 2:43:00) Arseniy Sheydvasser. Twists on Quaternion Algebras and Related Orbifolds.

Direct link to video on YouTube (with better navigation): https://youtu.be/hQSDEPOslAE


AMS Special Session on Quaternions II (afternoon session)

Thursday January 7, 2021, 1:00 p.m.-3:50 p.m.
AMS Special Session on Quaternions, II
Organizers:
Johannes Familton, Borough of Manhattan Community College jfamilton@bmcc.cuny.edu
Terrence Blackman, Medgar Evers College
Chris McCarthy, Borough of Manhattan Community College

Click on the titles below to download the abstract.

The Quaternions video from Session II contains the presentations:

(00:00 to 28:12) Paula Maria Machado Cruz Catarino.
Sequences of quaternions: A summary on my recent research journey.
(28:12 to 54:44) Daniel Aron Alpay.
Reproducing kernel spaces in hypercomplex analysis: quaternions, split quaternions and beyond.
(54:44 to 1:20:36) Marshall A. Whittlesey. Using quaternions to prove theorems in spherical geometry.
(1:20:36 to 1:42.06) Tevian Dray. A visual description of quaternionic multiplication and SO(4).

Direct Link to Video on YouTube (with better navigation): https://youtu.be/5nkrX036R7s

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