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微分幾何・トポロジーセミナー

タイトル	L-length, reduced volume, and B-field renormalization group flow
開催日時	2019年10月29日 16:30～18:00
主催者
講演者	石田　政司　氏　(大阪大学)
場所	矢上キャンパス14-733（14棟7階ミーティング3）
内容	Perelman introduced a length functional for paths in the space-times of solutions of the Ricci flow, called the L-length. The geometry which is based on the L-length is called the L-geometry. By using the L-length, an important monotone quantity was introduced by Perelman. The quantity is called the reduced volume, which becomes one of powerful tools for studying the Ricci flow. On the other hand, the B-field renormalization group flow is one of generalized versions of the Ricci flow and closely related to the pluriclosed flow introduced by J. Streets and G. Tian. In this talk, we shall develop the L-geometry for the B-field renormalization group flow by introducing a new L-length. In particular, we shall introduce a reduced volume type quantity and discuss its property.
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