Defines path-signature descriptors for spectral line profiles and shows they enable unsupervised clustering of MaNGA Hα spaxels into spatially coherent classes whose stacked spectra recover large-scale velocity patterns.
Recent Advances in the Langlands Program
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abstract
These are the notes for the lecture given by the author at the "Current Events" Special Session of the AMS meeting in Baltimore on January 17, 2003. Topics reviewed include the Langlands correspondence for GL(n) in the function field case and its proof by V.Drinfeld and L.Lafforgue, the geometric Langlands correspondence for GL(n) and its proof by D.Gaitsgory, K.Vilonen and the author, and the work of A.Beilinson and V.Drinfled on the quantization of the Hitchin system and the Langlands correspondence for an arbitrary semisimple algebraic group.
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The Hidden Geometry of Astrophysical Spectra: Path-Signatures of Line Profiles
Defines path-signature descriptors for spectral line profiles and shows they enable unsupervised clustering of MaNGA Hα spaxels into spatially coherent classes whose stacked spectra recover large-scale velocity patterns.