Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	袁航博士，Northwestern University
Inviter:
Title:	Family Floer SYZ duality for A_n singularity
Language:	Chinese
Time & Venue:	2023.07.03 10:00-11:00 南楼N913
Abstract:	We study a mathematically precise version of SYZ conjecture between the A_n-smoothing and the A_n-resolution. This examples gives the first geometric evidence for the conjectural mirror connection between the vanishing-cycle Lagrangian spheres and the exceptional rational (-2)-curves. It also gives some preliminary connection to the braid group action. Moreover, this example offers the first instance describing the mirror behavior when singular Lagrangian fibers collide. We will perform the calculations in great details to justify our explicit answer for the SYZ fibration duality for the A_n singularity.