The 34th KMGS will be held on May 16th, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Seungyeol Park from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.
[Speaker] 박승열 (Seungyeol Park) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 최서영, Suhyoung Choi
[Title] Deformations of Coxeter orbifolds
[Discipline] Geometric Topology
[Abstract]
Given a smooth manifold or orbifold M and a Lie group G acting transitively on a space X, we consider the space of all (G, X)-structures on M up to an appropriate equivalence relation. This space, known as the deformation space of (G, X)-structures on M, encodes information about how one can “deform” the (G, X)-manifold M. In this talk, I will provide a general definition of deformation spaces and character varieties, which capture the local structure of the deformation space. Additionally, I will introduce a class of orbifolds called the Coxeter orbifolds, for which deformation spaces can be computed using an approach due to the foundational work of E. Vinberg.
[Language] Korean but English if it is requested