每周二 14:30-16:00, 2023.05-2023.07

Organized by: Wan Xueyuan, Xia Wei, Shen Yang

Speaker:  Yang Shen (MSRC, CQUT)

Time:  14:30-16:30, Dec 26, 2023

Venue:  数学中心研讨室（至善楼602）

Titile: Illustrating the recent theorems in flag domains with classical examples II

Abstract: 

Flag domains in flag manifolds are of great importance to complex geometry, Hodge theory and representation theory. For example, the period domains in Hodge theory for studying the moduli spaces are flag domains in the flag manifolds defined by Sp(n,C) or SO(n,C) quotient by the parabolic subgroups. Recently, tools from complex geometry have revolutionary applications in studying the geometry of the flag domains and the corresponding spaces, e.g. the cycles spaces and the incidence variety. In this series talks, we will introduce the classical examples of flag domains with emphasis on period domain, to illustrate the recent progress on flag domains.

Reference:

Griffiths, Hodge theory, complex geometry and complex geometry.

Knapp, Representation theory of semisimple groups. An overview based on examples.

Fels, Huckleberry, Wolf, Cycle Spaces of Flag Domains