中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人： 袁航 博士（Northwestern University）
题 目：Family Floer SYZ duality for A_n singularity
时 间：2023.07.03（星期一），10:00-11:00
地 点：数学院南楼N913
摘 要：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.
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报告人： 袁航 博士（Northwestern University）
题 目：Family Floer SYZ duality for conifold transition
时 间：2023.07.04（星期二），10:00-11:00
地 点：数学院南楼N913
摘 要：We study a mathematically precise version of SYZ conjecture between the conifold-smoothing and the conifold-resolution. This examples suggests that the non-archimedean SYZ picture may potentially give new insight for the cluster algebras and the cluster varieties. We will perform the calculations in great details to justify our explicit answer for the SYZ fibration duality for the conifold.
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