MS Seminar (Mathematics - String Theory)

Speaker: Yu-Wei Fan (Harvard U)
Title: Systoles, Special Lagrangians, and Bridgeland stability conditions
Date: Tue, May 22, 2018, 13:15 - 14:45
Place: Seminar Room A
Abstract: Loewner's torus systolic inequality states that the least length of a non-contractible loop (systole) on a torus can not be too large compare to its volume. We attempt to generalize this relation from the viewpoint of Calabi-Yau geometry, which naturally leads to the notions of systole and systolic ratio of Bridgeland stability conditions. We will first recall some relevant backgrounds on mirror symmetry and Bridgeland stability conditions. Then we will study an example of K3 surface, which turns out to be a lattice-theoretic question.