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Lagrangian mean curvature flow and the Thomas-Yau-Joyce programme

Interested in meeting your fellow graduate students and learning about their research? We are restarting for 2025 the informal colloquium for graduate HDR students to share interesting topics they’ve come across during their studies.

schedule Date & time
Date/time
29 Aug 2025 2:00pm - 29 Aug 2025 3:00pm
person Speaker

Speakers

Anson Chung
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Description

Abstract:
The Thomas-Yau conjecture states that under a suitable notion of "stability", a "stable" Lagrangian submanifold evolving under the Lagrangian mean curvature flow (LMCF) has long time existence and flows to a unique special Lagrangian in its class. This conjecture is too good to be true as the behaviour of LMCF is much more intricate. In this talk, I will introduce key updates proposed by Joyce, some recent progress, and discuss the difficulties associated with the programme.

Location

Rm 1.37, Hanna Neumann Building#145

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