Dr. Martin Schlichenmaier - Forschungsinformation
Research Interests
My research is dealing with geometric (algebraic-geometric,
symplectic-geometric,
analytic-geometric,
differential-geometric),
analytic, and algebraic
theories and techniques which have a close connection to
mathematical and theoretical physics.
In particular I am working in the fields
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Kähler manifolds and algebraic varieties, especially
problems appearing when they will be quantized,
-
mathematical aspects of the quantization of singular spaces,
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star products (deformation quantization) as deformation of the
Poisson algebras of manifolds,
together with all relations to other mathematical fields
in particular also to non-commutative geometry,
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moduli spaces, in particular the moduli space of algebraic curves
with marked points, conformal field theory,
Wess-Zumino-Novikov-Witten models (WZNW models),
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geometrically induced Lie algebras, algebras of
Krichever-Novikov type, their cohomology, their central extensions,
and their deformations,
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geometry of coherent states.
Beside other topics I am also interested in
computer algebra.
The following links are a very incidential
choice of some links which are relevance to my
research topics:
Some non-mathematical links of interest to me:
Other links: