The Cohomology of the Cryo-EM problem
主 题: The Cohomology of the Cryo-EM problem
报告人: Ye Ke (University of Chicago)
时 间: 2016-05-18 14:00 - 15:00
地 点: 理科一号楼 1418
Cryo-electron microscopy (Cryo-EM) is a device to study the 3D structure of molecules. For a given type of molecule, we freeze samples rapidly in a thin layer of ice (without crystals). We take tomographic images of each sample to obtain a large collection of 2D images. The goal of the Cryo-EM problem is to reconstruct the 3D structure of the molecule from those 2D images. In this talk, we first present the Hadani - Singer model for the Cryo-EM problem and then we review necessary results from algebraic topology. Lastly, we relate the data obtained from 2D projection images to the cohomology of a two dimensional simplicial complex with coefficient in SO(2). This is a joint work with Lek-Heng Lim.