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DTSTART:20230312T070000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-co
 mbinatorics-patricia-klein
SUMMARY:Algebraic Combinatorics - Patricia Klein
CLASS:PUBLIC
DESCRIPTION:TITLE: From the Upper Bound Conjecture to Gorenstein linkage\n\
 nSPEAKER:\n Patricia Klein\n\nAFFILIATION:\n Texas A&M\n\nLOCATION:\n MC 5
 501\n\nABSTRACT: In 1957\, Motzkin conjectured that the maximum number of\
 nfaces possible for a polytope on n vertices in d-space is achieved by\nth
 e convex hull of n points on the moment curve in d-space.  This\nconjectu
 re\, called the Upper Bound Conjecture\, was proved by McMullen\nin 1970 a
 nd generalized by Stanley in 1975.  On the road to Stanley's\nproof\, a c
 orrespondence between squarefree monomial ideals and\nsimplicial complexes
  was born.  That correspondence is called the\nStanley--Reisner correspon
 dence.  It has come to occupy a central\nplace in combinatorial algebraic
  geometry. 
DTSTAMP:20260404T071756Z
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