Thesis supervisor: Gábor Somlai
Location of studies (in Hungarian): ELTE Faculty of Science, Institute of Mathematicsc Abbreviation of location of studies: ELTE
Description of the research topic:
Fuglede conjectured that spectral sets and tiles coincide. The problem can be formulated for any locally compact group and the case of the Euclidean spaces is the most investigated. The 1 dimensional case leads to the investigation of finite abelian groups. The question is interesting for other finite groups as well and these have led us to problems in finite geometry.
Required language skills: English Further requirements: M. Sc. in mathematics