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SUMMARY:Caterina Stoppato (Università di Firenze\, Italy)
DTSTART:20210309T140000Z
DTEND:20210309T150000Z
DTSTAMP:20260422T201242Z
UID:CAvid/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/36/">R
 egularity in one hypercomplex variable</a>\nby Caterina Stoppato (Universi
 tà di Firenze\, Italy) as part of CAvid: Complex Analysis video seminar\n
 \nLecture held in N/A.\n\nAbstract\nSince the 1930s\, several function the
 ories have been introduced over the algebra of quaternions and other alter
 native algebras. The aim of such constructions is to recover in higher dim
 ensions the refined tools available in the theory of holomorphic functions
  of one complex variable. The peculiar properties of the higher-dimensiona
 l algebras considered are reflected in the different theories introduced.\
 n\nA relatively recent breakthrough was the introduction of the class of s
 lice regular functions of one quaternionic variable by Gentili and Struppa
  in 2006. This study\, generalized to alternative $*$-algebras by Ghiloni 
 and Perotti in 2011\, has rapidly developed into a full-fledged theory.\n\
 nThe talk will overview the general problem of function theory in one hype
 rcomplex variable\, the main features of the theory of slice regular funct
 ions and its applications to open problems from other areas of mathematics
 .\n
LOCATION:https://researchseminars.org/talk/CAvid/36/
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