Speaker Introduction

Dr. Jingling Yang is an Assistant Professor at the School of Mathematical Sciences at Xiamen University. She obtained her Ph.D. from the Chinese University of Hong Kong under the supervision of Professor Zhongtao Wu. Her research focuses on low-dimensional topology, knot theory, and the applications of Heegaard Floer homology theory.

Abstract

A fundamental problem in low-dimensional topology is to find the minimal genus of embedded surfaces in a 3-manifold or 4-manifold, in a given homology class. Ni and Wu solved a 3-dimensional minimal genus problem for rationally null-homologous knots.  In this talk, we will discuss an analogous 4-dimensional minimal genus problem for rationally null-homologous knots. This is a joint work with Zhongtao Wu.