Myfanwy Evans (U Potsdam)
Kathryn Hess Bellwald (EPFL)
Frank H. Lutz (TU Berlin)
Dmitriy Morozov (LBNL)
Ileana Streinu (Smith College)
This Thematic Einstein Semester, devoted to recent developments in the field of computational materials science,
brings together experts from the sciences with experts from computational topology, computational algebraic, discrete differential
and stochastic geometry working on the structure and function of materials.
Physical properties of materials are governed to a large extent by their microstructure, on which various geometric and topological analyses can be performed to identify essential structural properties. This leads to improvements in production processes or to new designs of materials with controlled properties:
- The geometric form of material microstructures plays a critical role in macroscopic function and is subject to a myriad of energy constraints.
- The spatial geometry of framework materials is described precisely by a set of algebraic constraints. These reveal insight into the physically based descriptions of rigidity, flexibility and spatial deformations of the structures.
- Crystalline structure requires a more enumerative, data-driven approach to material characterization than disordered systems.
- Polycrystalline materials like rocks, metals or steel, but also foams can be regarded as cellular decompositions of three-dimensional space.
- Establishing phase transitions for topological properties provides understanding for how well material structures can be approximated by random topological spaces.
- Persistence helps to describe the changes that a material, like an amorphous solid or glass, undergoes during phase transitions.
- Research at the interface of topology and neuroscience includes the classification and synthesis of neuron morphologies.
The semester is organized within the framework of the Berlin Mathematics Research Center MATH+ and supported by the Einstein Foundation Berlin.
April 13, 2021, Time Zone: Berlin Time (Central European Summer Time, CEST)
- 02:15 pm to 02:45 pm Virtual get-together
- 02:45 pm to 03:00 pm Welcome address by Christof Schütte (President of ZIB Berlin, Chair of MATH+)
- 03:00 pm to 03:40 pm Ileana Streinu (Smith College)
Rigidity, Circuits and Resultants: a combinatorial elimination approach to localization
- 03:50 pm to 04:30 pm Daphne Klotsa (U North Carolina at Chapel Hill)
- 04:30 pm to 05:00 pm Virtual coffee break
- 05:00 pm to 05:40 pm Herbert Edelsbrunner (IST Austria)
April 14, 2021, Time Zone: Berlin Time (Central European Summer Time, CEST)
- 09:00 am to 09:40 am Stephen Hyde (U Sydney)
- 09:50 am to 10:30 am Motoko Kotani (Tohoku U)
- 10:30 am to 11:00 am Virtual coffee break
- 11:00 am to 11:40 am Yasuaki Hiraoka (Kyoto U)
On characterizing rare events in persistent homology
April 22, 2021, Thematic Day 1, Applied Facets of Geometry and Topology
- James A. Sethian (UC Berkeley / LBNL) (to be confirmed)
- Lisbeth Fajstrup (Aalborg U)
- Jacek Brodzki (U Southampton)
May 6, 2021, Thematic Day 2, Cellular Materials
- Francisco Garcia-Moreno (Helmholtz-Zentrum Berlin / TU Berlin)
- Emanuel (Menachem) Lazar (Bar-Ilan U)
- Michael Klatt (Saarland U)
- John M. Sullivan (TU Berlin)
May 20, 2021, Thematic Day 3, Stochastic Geometry and Materials
- Claudia Redenbach (TU Kaiserslautern)
- Benedikt Jahnel (WIAS Berlin)
- Barbara Zwicknagl (HU Berlin)
- Wolfgang König (TU Berlin / WIAS Berlin)
May 26, 2021, Thematic Day 4, Topological Data Analysis
Semester courses for local students
Discrete and Computational Topology, Frank H. Lutz (TU Berlin)
Discrete Geometrie II, Matthias Beck (FU Berlin)
Discrete Geometry III, Michael Joswig (TU Berlin)
Geometry, Topology and Applications, Myfanwy Evans (U Potsdam)
Mathematical Visualization: The Symmetries of Things, John M. Sullivan (TU Berlin)
Please register via this form. Registered participants will receive the links for the semester by email.
MATH+ Collegiality Statement