Discretization in Geometry and Dynamics
SFB Transregio 109

 

The SFB/TRR 109 "Discretization in Geometry and Dynamics" has been funded by the Deutsche Forschungsgemeinschaft e.V. (DFG) since 2012. 
The project is a collaboration between:


The central goal of the SFB/Transregio is to pursue research on the discretization of differential geometry and dynamics. In both fields of mathematics, the objects under investigation are usually governed by differential equations. Generally, the term "discretization" refers to any procedure that turns a differential equation into difference equations involving only finitely many variables, whose solutions approximate those of the differential equation.

The common idea of our research in geometry and dynamics is to find and investigate discrete models that exhibit properties and structures characteristic of the corresponding smooth geometric objects and dynamical processes. If we refine the discrete models by decreasing the mesh size they will of course converge in the limit to the conventional description via differential equations. But in addition, the important characteristic qualitative features should be captured even at the discrete level, independent of the continuous limit. The resulting discretizations constitutes a fundamental mathematical theory, which incorporates the classical analog in the continuous limit.

The SFB/Transregio brings together scientists from the fields of geometry and dynamics, to join forces in tackling the numerous problems raised by the challenge of discretizing their respective disciplines.
 

New film featuring the work of the SFB

"The Discrete Charm of Geometry"
 

Next SFB Workshop

SFB Workshop 2016 "DGD Days"
  • 10.10. - 14.10.2016
  • The 2016 edition of the annual DGD days on "Discretization in Geometry and Dynamics" will take place in Berlin on October 10-14. At the beginning of our second funding period, the DGD days 2016 will give our young investigators and new projects an opportunity to present their research within the SFB/Transregio. We are also very pleased to announce as our plenary speaker Prof. Dr. Bernd Sturmfels from U.C. Berkeley Mathematics. The DGD days program is organized in presentations and a framework of free time providing opportunities for ongoing discussions and exchange.
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Current Guests and Visitors
  • Prof. Dr. Bernd Sturmfels as Einstein Visiting Fellow at TU Berlin (01.05.2015 - 30.04.2018)
  • Prof. Dr. Francisco Santos as Einstein Visiting Fellow at FU Berlin (01.04.2016 - 31.03.2019)
  • Prof. Dr. Wolfgang K. Schief as Guest Professor at TU Berlin (27.06.2016 - 31.12.2016)
  • Prof. Dr. Pavle Blagojević as Guest Professor at FU Berlin (01.07.2016 - 31.12.2016)
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