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Speaker:

Asilya Suleymanova
Affiliation:

Humbodlt Universität Berlin
Date:

Tue, 2017-04-04 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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