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SUMMARY:Daniel Fiłonik
DTSTART:20241227T163000Z
DTEND:20241227T173000Z
DTSTAMP:20260422T171806Z
UID:CompMath/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CompMath/9/"
 >Hypercomplex Numbers: How I stopped worrying and learned to love multilin
 ear algebra (Part 1/2)</a>\nby Daniel Fiłonik as part of Relatorium semin
 ar\n\n\nAbstract\nThis seminar will serve up a smorgasbord of ideas revolv
 ing around the notion of hypercomplex numbers. Traditionally\, the term hy
 percomplex number refers to an element of a finite-dimensional unital alge
 bra over the field of real numbers. The hypercomplex numbers are stepping 
 stones to learning about Lie groups and group representation theory.\n\nMy
  aim is to reframe some of the key underlying ideas in more modern mathema
 tical language by using multilinear algebra and string diagrams as graphic
 al notation\, while simultaneously keeping intact the original intuition o
 f generalizing complex numbers. Ultimately\, I hope to motivate further ex
 ploration by showing several practical applications of hypercomplex number
 s in computer graphics and data visualization.\n\n\n\n** ==== **\n\nThe ta
 lk will be moderated by Edmund Harriss. Edmund Harriss is a mathematician\
 , artist\, and assistant professor at the University of Arkansas. He is th
 e discoverer of the Harriss spiral and the creator of the construction toy
  Curvahedra. He is the coauthor of Hello Numbers\, What Can You Do? and th
 e coauthor and illustrator of two mathematical coloring books: Patterns of
  the Universe and Visions of the Universe.\n
LOCATION:https://researchseminars.org/talk/CompMath/9/
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