Archive 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.
- 8:00 a.m.
Olinde Rodrigues’ most famous work.
Johannes C Familton*, Borough of Manhattan Community College The City University of New York
(1163-01-867) - 8:30 a.m.
Role of Quaternions, Octonions, Jordan and related algebras in physics.
Sultan Catto*, CUNY Graduate School,
(1163-08-655) - 9:00 a.m.
Tail Behavior and Non-Uniqueness of Quaternion-Valued KdV 1-Solitons.
Zachary T Hilliard*, College of Charleston
Alex Kasman, College of Charleston
(1163-35-597) - 9:30 a.m.
Spectral Correspondences for Mass Waveforms on Quaternion Groups.
Terrence Richard Blackman*, Medgar Evers College & IAS
(1163-11-784) - 10:00 a.m.
Calculus over quaternion algebra.
Aleks Kleyn*, Brooklyn, NY
(1163-16-361) - 10:30 a.m.
Twists on Quaternion Algebras and Related Orbifolds.
Arseniy Sheydvasser*, Technion
(1163-11-204) - 11:00 a.m.
Processing color information in natural and biomedical images.
Nektarios A Valous*, German Cancer Research Center (DKFZ), Heidelberg, Germany
Rodrigo Rojas Moraleda, German Cancer Research Center (DKFZ), Heidelberg, Germany
Eckhard Hitzer, College of Liberal Arts, International Christian University, Tokyo, Japan
Dragoş Duşe, Department of Physics and Astronomy, Heidelberg University, Heidelberg, Germany
Meggy Suarez-Carmona, German Cancer Research Center (DKFZ), Heidelberg, Germany
Anna Berthel, German Cancer Research Center (DKFZ), Heidelberg, Germany
Dirk Jäger, German Cancer Research Center (DKFZ), Heidelberg, Germany
Inka Zörnig, National Center for Tumor Diseases (NCT), Heidelberg, Germany
Niels Halama, German Cancer Research Center (DKFZ), Heidelberg, Germany
(1163-68-93) - 11:30 a.m.
Bringing quaternions to the people – a 177 year challenge.
Thomas Haslwanter*, Univ. of Applied Sciences Upper Austria, Dept. of Medical Engineering
(1163-97-601) Cancelled by presenter.
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.
- 1:00 p.m. MST
Pleasant Encounters with Quaternions.
P. D. Beites*, Department of Mathematics and Centre of Mathematics and Applications, University of Beira Interior, Portugal
(1163-16-275) - 1:30 p.m. MST
Sequences of quaternions: A summary on my recent research journey.
Paula Maria Machado Cruz Catarino*, Department of Mathematics. University of Tras-os-Montes e Alto Douro. Vila Real, Portugal
(1163-11-408) - 2:00 p.m. MST
Comparative study of quaternionic root-finding methods.
Maria Irene Falcão*, CMAT and Department of Mathematics, University of Minho
Fernando Miranda, CMAT and Department of Mathematics, University of Minho
Ricardo Severino, Department of Mathematics, University of Minho
Maria Joana Soares, NIPE and Department of Mathematics, University of Minho
(1163-65-351) - 2:30 p.m. MST
Reproducing kernel spaces in hypercomplex analysis: quaternions, split quaternions and beyond.
Daniel Aron Alpay*, Chapman University, Orange, CA.
(1163-46-577) - 3:00 p.m. MST
Using quaternions to prove theorems in spherical geometry.
Marshall A. Whittlesey*, California State University San Marcos
(1163-51-247) - 3:30 p.m. MST
A visual description of quaternionic multiplication and .
Tevian Dray*, Oregon State University
Corinne A. Manogue, Oregon State University (physics)
Isabella Johnson, Oregon State University (physics)
(1163-16-630)
The Quaternions video from Session II contains the presentations:
Sequences of quaternions: A summary on my recent research journey.
Direct Link to Video on YouTube (with better navigation): https://youtu.be/5nkrX036R7s
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