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Explore a 57-minute lecture on the mathematical concept of linear optimization degree and its relationship to Chern-Mather classes. Delve into the geometric interpretation of linear optimization degree as a projection map on affine conormal variety, and discover how the geometry of conormal variety, expressed through bidegrees, determines the Chern-Mather classes of affine varieties. Learn about the equivalence between these bidegrees and linear optimization degrees of generic affine sections, while examining connections to polar geometry and the nearest point problem. Based on collaborative research with J. Rodriguez, B. Wang, and L. Wu, gain insights into this advanced mathematical topic presented by Professor Laurentiu Maxim from the University of Wisconsin-Madison.
Syllabus
Laurentiu Maxim, University of Wisconsin-Madison: Linear optimization via Chern-Mather classes
Taught by
IMSA