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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240809T153000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/tutte-colloq
 uium-bruno-lourenco
SUMMARY:Tutte Colloquium - Bruno Lourenço
CLASS:PUBLIC
DESCRIPTION:TITLE: Oddities in the pursuit of self-duality\n\nSPEAKER:\n B
 runo Lourenço\n\nAFFILIATION\n The Institute of Statistical Mathematics\
 n\nLOCATION:\n MC 5501\n\nABSTRACT: Certain important cones in conic opti
 mization are\nself-dual\, e.g.\, the positive semidefinite matrices and th
 e\nnonnegative orthant. In this talk we will address the problem of\ndeter
 mining which convex cones are self-dual in a broad sense\, which\nallows 
 changing the underlying inner product if necessary. We will\ndescribe some
  recent progress on this question for polyhedral cones\nand discuss some u
 nexpected connections. In particular\, we will show a\ncurious result conn
 ecting 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 describ
 e new results on the related problem of\ndetermining the automorphisms of 
 certain cones of interest.\n\nThis talk is based on joint works with Joã
 o Gouveia and Masaru Ito.
DTSTAMP:20260404T221830Z
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