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UID:e2d3cc8f26ea5e6b74896f515e9ddb04
CATEGORIES:Math and Data Seminar
CREATED:20260818T112912
SUMMARY:Crystallographic Phase Retreival, Multi-Reference Alignment and Second Moments
LOCATION:?
DESCRIPTION:<p>X-ray crystallography is a widely used technology for reconstructing the
  lattice structure of crystallized protein molecules from the diffraction p
 atterns produced when the crystal is bombarded with X-rays. This technology
  plays a critical role in drug discovery and medicine. At the heart of this
  method lies the so-called "phase problem": if we treat the protein's elect
 ron density as the signal to be reconstructed, the diffraction pattern fail
 s to captures any phase information of this signal. The crystallographic ph
 ase retrieval problem therefore seeks to recover an unknown signal from its
  crystallographic phase-less measurements. In this talk, we will introduce 
 the crystallographic phase retrieval problem, discuss its well-posed-ness, 
 and outline a few results that determine if and when recovery is possible. 
 To establish these recovery results, we will outline how the crystallograph
 ic phase retrieval problem is a special instance of a problem seeking to in
 vert the second moment measurements of a more general framework known as th
 e Multi-Reference Alignment (MRA) model.</p><p>This talk is based on joint 
 works with Dan Edidin, Nadav Dym and Tamir Bendory.</p>
CONTACT:Arun Suresh (Rutgers)
DTSTAMP:20260826T094725
DTSTART;TZID=America/New_York:20260916T140000
DTEND;TZID=America/New_York:20260916T150000
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