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Infinite-time singularities in the Lagrangian mean curvature flow

组织者

河井公大朗 , 钱超

演讲者

Wei-Bo Su

时间

2024年06月26日 15:00 至 16:00

地点

Online

线上

Zoom 435 529 7909 (BIMSA)

摘要

Lagrangian mean curvature flow (LMCF) is a canonical way to deform Lagrangian submanifolds in Calabi—Yau manifolds, with the goal of finding special Lagrangians, which are volume-minimizers within their homology classes. Despite its significance, the general long-time behavior of LMCF remains open. In this talk, I will present recent joint work with Chung-Jun Tsai and Albert Wood, where we construct a long-time solution to LMCF with an infinite-time singularity, precisely modeled on shrinking Lawlor necks at a specific rate. Our approach utilizes a parabolic gluing construction, inspired by Brendle and Kapouleas' work on ancient Ricci flow.