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DTSTART:20240310T070000
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DTSTART:20231105T060000
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URL:/combinatorics-and-optimization/events/tutte-colloq
 uium-bruno-lourenco
SUMMARY:Tutte Colloquium - Bruno Lourenço
CLASS:PUBLIC
DESCRIPTION:Summary \n\nTITLE: Oddities in the pursuit of self-duality\n\n
 SPEAKER:\n Bruno Lourenço\n\nAFFILIATION\n The Institute of Statistical 
 Mathematics\n\nLOCATION:\n MC 5501\n\nABSTRACT: Certain important cones i
 n conic optimization are\nself-dual\, e.g.\, the positive semidefinite mat
 rices and the\nnonnegative orthant. In this talk we will address the probl
 em of\ndetermining which convex cones are self-dual in a broad sense\, wh
 ich\nallows changing the underlying inner product if necessary. We will\nd
 escribe some recent progress on this question for polyhedral cones\nand di
 scuss some unexpected connections. In particular\, we will show a\ncurious
  result connecting self-dual polyhedral cones and extreme rays\nof doubly
  nonnegative matrices. We will also discuss how semidefinite\nprogramming 
 can be used to search for self-dual polyhedral cones. Time\nallowing\, we 
 will describe new results on the related problem of\ndetermining the autom
 orphisms of certain cones of interest.\n\nThis talk is based on joint work
 s with João Gouveia and Masaru Ito.\n 
DTSTAMP:20250516T165946Z
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