김승혁 (한양대학교)

- Title: Bubble memories

- Abstract: I will introduce mathematical objects called bubbles, which appear in various branches of mathematics. In particular, I will describe how the bubbles role in the analysis of several elliptic and parabolic equations, and interpret them in the viewpoint of geometry and physics. I also would like to mention what I studied for the bubbles while I was a postdoctoral researcher in KIAS.
 

김수정 (숭실대학교)

- Title: Liquid crystal flows in high magnetic fields

- Abstract: Liquid crystal is an intermediate state of matter between solid and liquid states. When a strong magnetic field is applied to liquid crystals, the orientation of liquid crystals is easily aligned with the external field. This characteristic plays a role in applications to liquid crystal displays. In this talk, we are concerned with the hydrodynamic flow of liquid crystals derived by Ericksen and Leslie in the 1960s. In the presence of a strong magnetic field, we will discuss magnetic field-induced instability of the aligned solution to the Ericksen-Leslie system in dimension two.

조윤형 (성균관대학교)

- Title: Lie group actions on symplectic manifolds

- Abstract: For a given compact Lie group G, classifying all manifolds equipped with G-actions is one of the most fundamental and important problems in differential geometry. In this talk, We will discuss the problem in the symplectic category and explain the history, recent progress, and some open questions.

유미수 (충북대학교)

- Title: Generalized determinant formulas for Schur functions using Bazin--Sylvester identity 

- Abstract: In the literature there are several determinant formulas for Schur functions: the Jacobi--Trudi formula, the dual Jacobi--Trudi formula, the Giambelli formula, the Lascoux--Pragacz formula, and the Hamel--Goulden formula, where the Hamel--Goulden formula implies the others. In this talk we use the Bazin--Sylvester identity to derive a determinant formula for Macdonald's ninth variation of Schur functions. As consequences we obtain a generalization of the Hamel--Goulden formula and a Lascoux--Pragacz-type determinant formula for factorial Schur functions conjectured by Morales, Pak and Panova and another proof of Jin's result on multiplication of certain Schur functions. This is joint work with Jang Soo Kim. 

최재경 (고등과학원)

- Title: 곡면의 꼬임과 리치 곡률

- Abstract: 3차원 구면 공간에서 극소곡면은 꼬이지 않는다. 그 이유에 대해서 쉽게 알아볼 것이다.