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October 1-5, Prof. Emily J King co-organized and participated in an Oberwolfach mini-workshop on "Algebraic, Geometric, and Combinatorial Methods in Frame Theory." The central goal of the mini-workshop was to attack open problems that seem amenable to an interdisciplinary approach combining certain subfields of frame theory, real algebraic geometry, symplectic geometry, and combinatorics.
Frames are collections of vectors in a Hilbert space which have reconstruction properties similar to orthonormal bases and applications in areas such as signal and image processing, quantum information theory, quantization, compressed sensing, and phase retrieval. Further desirable properties of frames for robustness in these applications coincide with structures that have appeared independently in other areas of mathematics, such as special matroids, Gel'Fand-Zetlin polytopes, and combinatorial designs.
There were 17 participants from 6 countries and 4 continents, representing a diverse mathematical background. The mini-workshop was a success and laid the groundwork for a number of papers.
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The Oberwolfach Mini-Workshop "Algebraic, Geometric, and Combinatorial Methods in Frame Theory", co-organized by Prof. Emily J. King, took place from October 1 to 5. The central aim of the mini-workshop was to tackle open problems which seem to be accessible to an interdisciplinary approach from certain parts of frame theory, real algebraic geometry, symplectic geometry and combinatorics.
Frames are collections of vectors in a Hilbert space whose reconstruction properties resemble an orthonormal base and which have applications in areas such as signal and image processing, quantum information theory, quantization, compressed sensing and phase retrieval. Other desirable properties of frames for robustness in these applications correspond to structures that occur independently in other areas of mathematics, such as special matroids, Gel'Fand-Zetlin polytopes, and combinatorial designs.
The workshop was attended by 17 people from 6 countries and 4 continents with different mathematical backgrounds. The mini-workshop was a success and laid the foundation for a number of publications.
