정승조 (전북대학교) 

- Title: Introduction to Higher Du Bois singularities

- Abstract: Du Bois constructed the Deligne--Du Bois complex, which can be seen as a singular version of the de Rham complex. In this talk, we define the Higher Du Bois singularity and reveal its relation with the maximal root of the Bernstein--Sato polynomial for the hypersurface singularity case. This talk is based on a recent joint work with I.-K. Kim, M. Saito and Y. Yoon.

정인지 (서울대학교)

- Title: Anomalous Dissipation in Passive Scalar Transport

- Abstract: We study anomalous dissipation in hydrodynamic turbulence in the context of passive scalars. Our main result produces an incompressible L^1_t C{1-}_x velocity field which explicitly exhibits anomalous dissipation. As a consequence, this example also shows non-uniqueness of solutions to the transport equation with an incompressible L^1_t C{1-}_x drift, which is smooth except at one point in time. We also provide three sufficient conditions for anomalous dissipation provided solutions to the inviscid equation become singular in a controlled way. Joint work with Theodore D. Drivas, Tarek M. Elgindi, and Gautam Iyer.

서애령 (경북대학교) 

- Title: Kobayashi isometries on bounded symmetric domains

- Astract: In this talk, I will present about totally geodesic Kobayashi isometric embeddings between bounded symmetric domains. More precisely I will show that any $C^1$ totally geodesic rank one Kobayashi isometric disc which extends continuously to the boundary in a bounded symmetric domain is either holomorphic or anti-holomorphic. In particular, it is either a minimal disc or a conjugate of a minimal disc. Furthermore, for bounded symmetric domains $Omega,,Omega'$ any $C^1$ totally geodesic Kobayashi isometric embedding from $Omega$ to $Omega'$ which extends continuously to the boundary is either holomorphic or anti-holomorphic provided that $Omega$ is irreducible and $text{rank}(Omega)geq text{rank}(Omega')$. This is a joint work with Sung-Yeon Kim in IBS.

안병희 (경북대학교) 

- Title: Augmentations and ruling polynomials for Legendrian graphs

- Abstract: In this talk, we will show the equivalence between two Legendrian isotopy invariants of Legendrian graphs: (i) augmentation number via point-counting over a finite field for the augmentation variety of the associated Chekanov-Eliashberg DGA, and (ii) the ruling polynomial via combinatorics of the decompositions of the associated front projections. This is a joint work with Youngjin Bae(Incheon National University) and Tao Su(Yau Mathematical Sciences Center, Tsinghua University).

김인강 (고등과학원)

- Title: Degree of virtual covering map, Gromov's dihedral rigidity, and harmonic maps to the circle

- Abstract: Using a technique of a harmonic map and scalar curvature, we give some applications to the Gromov's dihedral rigidity conjecture, and to a degree estimate of a virtual fibering cover of a closed hyperbolic 3-manifold.