AbstractIt is well-known since the work of Hopf, Drinfel’d, Majid, Witten, and etc. in the late 20th century that Hopf algebra quantum groups play a signification role in both physics and mathematics. In particular, the category of representations of quantum groups are braided, and hence captures invariants of knots. This talk is based on works with F. Girelli, where we develop a systematic ca...
AbstractIntroducing special subvarieties in a moduli space of Calabi-Yau n-folds arising from non-rigid families, we discuss the finiteness, smoothness and uniformizations (n=3) of those subvarieties, and we formulate the precise statement for Shafarevich program for families of Calabi-Yau n-folds. This is a project started in joint paper with Viehweg and carried out in a recent joint work in p...
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