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Research Projects and Exchange Programmes

The research group participates in the following projects:

Research Training Group 1463 "Analysis, Geometry and String Theory"

See the Homepage of the graduate school.

Compactifications of moduli spaces of polarized K3 surfaces and IHSM (DFG Project)

Topics of this project are:

  • the geometry of toroidal compactifications of polarized K3 surfaces and IHSM
  • admissible fans for toroidal compactifications of orthogonal modular varieties
  • modular compactifications

DFG Priority program Representation theory (SPP 1388) 

Project "Homological Mirror Symmetry for Singularities" (W. Ebeling):
The primary objective of the project is to study homological mirror symmetry for singularities in order to gain, by means of representation theory, a better understanding of some mysterious phenomena discovered in singularity theory such as for example the McKay correspondence and Arnold's strange duality.

DFG Priority program Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory (SPP 1489) 

Projekt "Algorithmic methods for arithmetic surfaces and regular, minimal models" (A. Frühbis-Krüger, joint with Florian Heß, Magdeburg):
The aim of this project is the development and implementation of algorithms for the computation of regular, minimal and canonical models of arithmetic surfaces. Such algorithms can be applied for instance in the investigation of the Birch-Swinnerton-Dyer conjecture, the classification of special fibers and the computation of Mordell-Weil groups of jacobians.

DFG Research Project (Mercator Fellow) 

Project "Invariants of singularities with group action" (W. Ebeling):

The main objective of this project is to explore invariants of singularities like indices of vector fields or 1-forms, Poincaré series and monodromy zeta functions in the presence of the action of a finite group on the variety.