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SUMMARY:Pierre-Olivier Parisé (University of Hawaii at Manoa)
DTSTART:20230406T150000Z
DTEND:20230406T154000Z
DTSTAMP:20260423T021829Z
UID:QARF/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QARF/8/">Inv
 olutions of multicomplex numbers</a>\nby Pierre-Olivier Parisé (Universit
 y of Hawaii at Manoa) as part of Quebec Analysis and Related Fields Gradua
 te Seminar\n\n\nAbstract\nGiven a real algebra $A$\, a function $f : A \\t
 o A$ is called a (real)-linear involution if $f$ is (real)-linear and $f(f
 (a)) = a$ for any element $a \\in A$. A natural question\, at least when $
 \\dim A < \\infty$\, is: How many (real)-linear involutions are there for 
 a given complex algebra? \n\nWe will answer this question in the first par
 t of the talk for the commutative real algebra $\\mathbb{M}\\mathbb{C}(n) 
 (n \\geq 1)$ of multicomplex numbers\, a commutative generalization of the
  complex numbers. In the second part of the talk\, I will show how to defi
 ne different Laplacians using the (real)-linear involutions of the multico
 mplex numbers.\n\nThe first part of this talk is a joint work with Nicolas
  Doyon and William Verreault.\n
LOCATION:https://researchseminars.org/talk/QARF/8/
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