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学科内

seminar:2014:016

第16回

  • 講演者 : 古谷 賢朗 氏(東京理科大)
    • 題目:Isospectral, but non-diffeomorphic nilmanifolds attached to Clifford modules
    • 日時:平成27年2月26日(木)16:30–17:30

The problem asked by Mark Kac in the paper “Can one hear the shape of a drum?” (1966) will be well-known widely as an initiation of spectral geometry and analysis (after Hermann Weyl ?). Since then, many counterexamples are found or constructed.

In this talk I will give a new example of infinite series of pairs of such manifolds, isospectral but non-diffeomorphic. They are constructed by making use of Clifford algebras with respect to quadratc forms with arbitrary signatures and their modules.

seminar/2014/016.txt · 最終更新: 2017/11/16 18:25 (外部編集)