[geometry-ml:05497] 神楽坂微分幾何学セミナー開催のお知らせ
Naoyuki Koike
koike @ rs.tus.ac.jp
2023年 12月 23日 (土) 13:54:08 JST
幾何学分科会MLの皆様
「神楽坂微分幾何学セミナー」を下記の通り開催致しますので、ご案内させていただきます。
開催日時:2024年1月23日(火)15:00~16:30
場所:東京理科大学 神楽坂キャンパス 842教室(8号館4階)
講演者:Albert Wood (King's College London)
講演タイトル:Infinite-time Singularities of Lagrangian Mean Curvature Flow
講演アブストラクト:
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.
ホームページ:https://www.rs.kagu.tus.ac.jp/~koike/Kagu-diffgeo-seminar.html
皆様のご参加をお待ちしております。
東京理科大学
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