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The spectrum of infinite monster groups

Project description

New methods for constructing infinite monster groups

Groups are abstract algebraic structures that mathematically encode the notion of symmetry. They are ubiquitous in all areas of mathematics and also have important implications for theoretical physics and computer science. The theory of infinite monster groups is an important part of group theory, offering examples of infinite groups with exceptional geometric, analytic and algebraic properties. Funded by the Marie Skłodowska-Curie Actions programme, the SPECMON project plans to develop new methods for constructing infinite monster groups. These methods will be used to study key open questions such as Diximier's problem on unitarisable groups, Kaplansky's zero-divisor conjecture and the Baum–Connes conjecture.

Coordinator

TECHNISCHE UNIVERSITAET DRESDEN
Net EU contribution
€ 162 806,40
Address
Helmholtzstrasse 10
01069 Dresden
Germany

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Region
Sachsen Dresden Dresden, Kreisfreie Stadt
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00