100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Minseong Kwon

Isotropy irreducible varieties and complex contact geometry
Mardi, 17 Septembre, 2024 - 14:00
Résumé : 

Isotropy irreducible varieties are homogeneous complex
affine varieties whose tangent spaces are irreducible representations.
While geometry of symmetric isotropy irreducible varieties is a
classical topic, geometry of non-symmetric isotropy irreducible
varieties has not been well-understood. In this talk, first, I will
recall the notion of the isotropy irreducible varieties and their
classification, together with some interesting examples. Next, I will
present my recent result on a connection between isotropy irreducible
varieties and complex contact geometry. Namely, I will interpret a
non-symmetric isotropy irreducible variety as a parameter space of a
family of submanifolds of an adjoint variety, tangent to the contact
structure. Finally, I will give a classification of homogeneous
Legendrian subvarieties of adjoint varieties and a description of
their moduli spaces, which are either isotropy irreducible varieties
or irreducible Hermitian symmetric spaces.

Institution de l'orateur : 
KAIST
Thème de recherche : 
Algèbre et géométries
Salle : 
4
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