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Speaker:
Asilya Suleymanova
Affiliation:
Humbodlt Universität Berlin
Date:
Tue, 04/04/2017 - 15:30 - 16:00
Location:
MPIM Lecture Hall
Parent event:
Young Women in Geometry The topic of the talk is spectral geometry. In 1966 Mark Kac asked in his paper "Can one hear
the shape of a drum?". Mathematically the question is formulated as follows. A drum is a domain
in Euclidean space that is held along its boundary. When we play a drum we hear an infinite
sequence of frequencies. The question is if one can determine geometry of a domain using only information on this sequence. Nowadays the question is generalised to Riemannian manifolds and
even to spaces with singularities. I will conclude the talk with my results on spaces with conic singularities.
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