To English version
今後の予定
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
講演者：Albert Wood (King's Colledge London)
Title: Infinite-time
Singularities 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.
世話人： 小池 直之，田中 真紀子，佐古 彰史，新田 泰文，馬場 蔵人，
梶ヶ谷 徹，斎藤 俊輔, 竹内 司
前神楽坂幾何学セミナー(2009年～2017年)及び過去の神楽坂微分幾何学セミナーの記録
につきましてはこちら(2009年～2017年)，(2018年～2019年)，(2021年)をご覧ください。