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SUMMARY:Kenji Iohara (University of Lyon\, France)
DTSTART:20230220T150000Z
DTEND:20230220T160000Z
DTSTAMP:20260423T021139Z
UID:ENAAS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/7/">On
  Elliptic Root Systems</a>\nby Kenji Iohara (University of Lyon\, France) 
 as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nIn 1985
 \, K. Saito introduced elliptic root systems as root systems belonging to 
 a real vector space $F$ equiped with a symmetric bilinear form $I$ with si
 gnature $(l\, 2\, 0)$. Such root systems are studied in view of simply ell
 iptic singularities which are surface singularities with a regular ellipti
 c curve in its resolution. K. Saito had classified elliptic root systems $
 R$ with its one dimensional subspace $G$ of the radical of $I$\, in the ca
 se when $R/G \\subset F/G$ is a reduced affine root system. In our joint w
 ork with A. Fialowski and Y. Saito\, we have completed its classification\
 ; we classified the pair $(R\,G)$ whose quotient $R/G \\subset F/G$ is a n
 on-reduced affine root system. In this talk\, we give an overview of ellip
 tic root sysems and describe some of the new root systems we have found.\n
LOCATION:https://researchseminars.org/talk/ENAAS/7/
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