SPP 1388 - Classical Yang-Baxter equation and sheaves on degenerations of elliptic curves (Teilprojekt)

Duration: 01/2012 - 12/2016

Funded by: DFG

Tame derived categories and their applications in algebraic geometry, representation theory, singularity theory and mathematical physcics

The technique of derived and triangulated categories is a universal language in which a synthesis of concepts and methods of various mathematical fields is accumulated. With its help one can apply concepts and results from algebraic geometry in compact formulation and solution of complicated analytic problems, a well-known example of which is the ...

Duration: 01/2007 - 12/2013

Funded by: DFG

Triangulated categories and associative algebras in the geometry of singular varieties

The project belongs to algebraic geometry, homological algebra and representation theory in its interaction with theoretical physics. In the given research projects we can underline three guiding lines: - study of derived categories of coherent sheaves on singular varieties and their behavior in families, in particular in the case of degeneracies ...

Duration: 01/2005 - 12/2007

Funded by: DFG