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BIMSA-BIT Differential Geometry Seminar
Infinite-time singularities in the Lagrangian mean curvature flow
Infinite-time singularities in the Lagrangian mean curvature flow
Organizers
Kotaro Kawai
, Chao Qian
Speaker
Wei-Bo Su
Time
Wednesday, June 26, 2024 3:00 PM - 4:00 PM
Venue
Online
Online
Zoom 435 529 7909
(BIMSA)
Abstract
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.