Date/heure
28 juin 2018
15:45 - 16:45
Oratrice ou orateur
Takeyoshi Kogiso
Catégorie d'évènement Séminaire Théorie de Lie, Géométrie et Analyse
Résumé
Clifford qaudratic forms (abbreviated by CQF) were introduced in [T. Kogiso and F. Sato, J. Math. Sci. , Univ. Tokyo, 23 (2016), 791–866] as examples of non-prehomogeous type plynomials which satisfy local functional equations. In this talk, I introduce the following applications and properties of CQFs. CQFs are counter examples of Etingof , Kahzdan and Polishachuk’s problem (2002) of homaloidal polynomials. LFE of polarization of CQF keeps non-prehomogeneity. Certain phenomena suggesting the relationship between CQF and some class of Clifford Klein forms introduced by Kobayashi and Yoshino.