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Three-dimensional structure determination of molecules without crystallization (Joint Math/Stat Colloquium)
Special EventsSpeaker: | Amit Singer, Princeton University |
Location: | 1147 MSB |
Start time: | Tue, May 21 2013, 4:10PM |
Cryo-electron microscopy (EM) is used to acquire noisy 2D projection images of thousands of individual, identical frozen-hydrated macromolecules at random unknown orientations and positions. The goal is to reconstruct the 3D structure of the macromolecule with sufficiently high resolution. We will discuss algorithms for solving the cryo-EM problem and their relation to other branches of mathematics such as tomography, random matrix theory, representation theory, spectral geometry, convex optimization and semidefinite programming.