일시: 11월27일 금요일 오후 2시 ~ 6시
Title: Introduction to modular curves and modular forms
We discuss the notion of modular curves and modular forms and various related problems in the context of number theory.
Title: Wall-crossing in Floer theory
The wall-crossing phenomenon in Lagrangian Floer theory refers to a drastic change in holomorphic disk counting while the bounding Lagrangians vary continuously. In particular, wall-crossings for Lagrangian tori can be formulated in terms of cluster transformations, which brings cluster varieties as principal objects into the study of mirror symmetry. I will discuss various features of the wall-crossing in Floer theory, making use of concrete examples, and explain its combinatorial nature.