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. [<6>]