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DESCRIPTION: The upcoming Thematic Einstein Semester entitled "Geometric an
 d Topological Structure of Materials" will focus on recent advancements in 
 computational materials science. In this talk\, we will present two interes
 ting areas where algebra can play a role in future research. First\, in the
  design and analysis of novel materials\, questions of rigidity of framewor
 ks arise. For generic configurations\, matroid-theoretic and combinatorial 
 techniques can be used to study rigidity. But the frameworks arising in app
 lications are rarely generic\, therefore deciding local rigidity presents a
  difficult computational problem which connects to the numerical algebraic 
 geometry of varieties and semi-algebraic sets. Second\, both point configur
 ations and also polycrystalline materials give rise to cellular decompositi
 ons of 3-dimensional space. We will discuss how a Fourier-type analysis of 
 these cells can be used to understand their approximate symmetry. The repre
 sentation theory of SO(3) and its finite subgroups can be used to extract F
 ourier coefficients from the surface normal density of a given cell. 
DTSTAMP:20191129T152200
DTSTART:20191216T160000
CLASS:PUBLIC
LOCATION:Technische Universität Berlin\n Institut für Mathematik\n Straße d
 es 17. Juni 136\n 10623 Berlin\n Room MA 041 (Ground Floor)
SEQUENCE:0
SUMMARY:Alexander Heaton (Max Planck Institut Leipzig): Applications of alg
 ebra to the geometry of materials
UID:95692799@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20191216-C-Heaton.html
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