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　　　　　　　　　　　　　　Future Schedule

Date ： 23 January, 2024 　　15:00 ～ 16:30
Place ： Tokyo University of Science, Kagurazaka Campus Room 842
Speaker ：Albert Wood (King's Colledge London)
Title ： Infinite-time Singularity of Lagrangian Mean Curvature Flow

Abstract: Special Lagrangian submanifolds are volume-minimising submanifolds of Calabi-Yau manifolds,
with important applications to theoretical physics. In a series of papers released two decades ago,
Dominic Joyce considers the problem of desingularising special Lagrangian submanifolds in
Calabi-Yau manifolds with isolated conical singularities, by gluing in suitable smooth, asymptotically
conical special Lagrangians at the singular points. He found that in certain cases, when a topological
obstruction vanishes, this desingularisation procedure may be carried out to produce nearby smooth
special Lagrangians.

In new work with Chung-Jun Tsai and Wei-Bo Su of National Taiwan University, we consider the
complementary case of `obstructed’ special Lagrangians, where Joyce’s result does not hold.
Instead, we construct examples for which the singular special Lagrangian may be viewed as the
infinite-time singularity of a mean curvature flow. These are the first constructed examples of
infinite-time singularities of Lagrangian mean curvature flows.

　　Organizers : Naoyuki Koike, Makiko Tanaka, Akifumi Sako,
　　　　　　　　　Yasufumi Nitta, Kurando Baba,
　　　　　　　　　Toru Kajigaya, Shunsuke Saito, Tsukasa Takeuchi

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