首都大学東京・幾何学セミナー

2018年度・後期

日時: 金曜日 16:30 -- 18:00

会場: 8号館6階 618号室

世話人: 深谷友宏

(以下, 敬称略)

2月1日:梶ヶ谷徹(東京電機大)

講演題目 : 重み付きハミルトン安定性と変形ラグランジュ平均曲率流

2月12日(火)16:30 --:Hojoo Lee (Seoul National University)(普段と曜日が違います)

Title. Flat structures on minimal surfaces

Abstract. Inspired by the Finn-Osserman (1964), Chern (1969), do Carmo-Peng (1979) proofs of the Bernstein theorem, which characterizes flat planes as the only entire minimal graphs, we prove a new rigidity theorem for associate families connecting the doubly periodic Scherk graphs and the singly periodic Scherk towers. Our characterization of Scherk's surfaces discovers a new idea from the original Finn-Osserman curvature estimate. Combining two generically independent flat structures introduced by Chern and Ricci, we shall construct geometric harmonic functions on minimal surfaces, and establish that periodic minimal surfaces admit fresh uniqueness results.