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홈 > 학술정보 >학술행사 > 세미나
한국고등과학원 세미나

Title
Webs of maximal rank, n-covered varieties and Jordan algebras
Speaker
Luc Pirio   (Univ. Versailles )
Date
2017-10-18 14:30:00
Host
KIAS
Place
Univ. Versailles
Abstract
Our starting point in this talk will be the result obtained recently with Tr?preau about the algebraization of webs of maximal rank. Our proof reduces the initial web-theoretic question to the study of some projective varieties which are n-covered by rational curves. I will mainly focus on this latter geometric problem and show that some unexpected examples of such varieties can be constructed from some non-associative algebras. If time allows, I will finish with discussing a particular case in which there is a correspondence between three kinds of objects a priori of distinct natures, namely : (i) the varieties 3-covered by twisted cubics; (ii) the quadro-quadric Cremona transformations; and (iii) the Jordan algebras of rank 3
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