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.
 

Film featuring the work of the SFB

"The Discrete Charm of Geometry"
 

Next Seminars

Kis-Sem: Keep it simple Seminar
  • 21.06.2019, 12:00 - 13:00
  • 12:00 - 13:00 TBA, Alexander Fairley 
  • more
SFB-Seminar Berlin
  • 25.06.2019, 14:15 - 15:15
  • 14:15 - 15:15 Geometry and dynamical degree for some birational maps , Yuri Suris (Technische Universität Berlin)
    +
  • I will describe a class of birational planar maps of a beautiful geometric origin (Pascal configurations and pencils of elliptic curves). Then, I will give a brief introduction to the notion of dynamical degree (or algebraic entropy) and show how to find this quantity for the class of maps discussed in the first part of the talk.
  • more
Kis-Sem: Keep it simple Seminar
  • 28.06.2019, 12:00 - 13:00
  • 12:00 - 13:00 TBA, Max Krause 
  • more
Current Guests and Visitors
  • Prof. Dr. Bernd Sturmfels as Einstein Visiting Fellow at TU Berlin (01.05.2015 - 31.07.2020)
  • Prof. Dr. Peter Schröder as Einstein Visiting Fellow at TU Berlin (01.03.2018 - 28.02.2021)
  • Prof. Dr. Wolfgang K. Schief as Guest Professor at TU Berlin (01.05.2019 - 31.08.2019)
  • Prof. Dr. Francisco Santos as Einstein Visiting Fellow at FU Berlin (01.04.2019 - 31.03.2021)
more