| Abstract: I will describe some of my recent work on defects in supersymmetric field theories. The first part of the talk is focused on supersymmetric line defects in certain large classes of 4d N=2 theories and 3d N=2 theories. I will describe geometric methods to compute the ground states spectrum of the bulk-defect system, as well as implications on the constructions of new link invariants. In the second part I will talk about some perspectives of supersymmetric surface defects in 4d N=2 theories and related topics on the exact WKB methods for ordinary differential equations, arising in the context of quantization of Seiberg-Witten curves. This talk is based on past joint work with A. Neitzke, various work in progress with D. Gaiotto, S. Jeong, A. Khan, G. Moore and A. Neitzke, as well as work by myself. Link to the Event Video |