[geometry-ml:01966] Berndtsson 教授の東大数理談話会

[hirachi ＠ ms.u-tokyo.ac.jp]

皆様

Berndtsson教授の東大数理談話会の案内です．
皆様の御参加をお待ちしています．

2014年1月24日（金）
場所　東京大学　数理科学研究科（駒場）

お茶&Coffee&お菓子: 16:00〜16:30 (2階コモンルーム)
16:30 - 17:30 数理科学研究科棟 123号室

講演者: Bo Berndtsson (Chalmers University of Technology)

題目: Complex Brunn-Minkowski theory.

Abstract: The classical Brunn-Minkowski theory deals with the volume of 
convex sets. It can be formulated as a statement about how the volume of 
slices of a convex set varies  when the slice changes. Its complex 
counterpart deals with slices of pseudoconvex sets, or more generally 
fibers of a complex fibration. It describes how $L^2$-norms of 
holomorphic functions, or sections of a line bundle, vary when the 
fibers change, and says essentially that a certain associated vector 
bundle has positive curvature. In the presence of enough symmetry this 
implies convexity properties of volumes; the real Brunn-Minkowski 
theorem corresponding to maximal symmetry.  There are also applications 
and relations in other directions, like variations of Kahler metrics, 
variations of complex structures and the study of plurisubharmonic 
functions

東大数理のwebでの案内は担当者がインフルエンザで不在のため入力されていま
せん．
平地健吾