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SUMMARY:Li Guo (Rutgers University - Newark)
DTSTART:20220524T190000Z
DTEND:20220524T192500Z
DTSTAMP:20260423T011438Z
UID:CANT2022/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2022/10/
 ">Renormalization of quasisymmetric functions</a>\nby Li Guo (Rutgers Univ
 ersity - Newark) as part of Combinatorial and additive number theory (CANT
  2022)\n\n\nAbstract\nThe algebra of quasisymmetric functions (QSym) has p
 layed a central role in multiple zeta values and a\nlarge class of combina
 torial algebraic structures related to symmetric functions. A natural line
 ar basis of QSym is the set of monomial quasisymmetric functions defined b
 y compositions\, that is\,\nvectors of positive integers.  Extending such 
 a definition for weak compositions\, that is\, vectors\nof nonnegative int
 egers\, leads to divergent expressions. This phenomenon is closely related
  to the divergency of multiple zeta values with nonpositive integer argume
 nts. \n\nWe apply\nthe method of renormalization in the spirit of Connes a
 nd Kreimer to address  \nthe divergency\, and realize weak composition\nqu
 asisymmetric functions as power series. \nThe resulting Hopf algebra has t
 he Hopf algebra of\nquasisymmetric functions as both a Hopf subalgebra and
  a Hopf quotient algebra. \n\nThis is joint work with Houyi Yu and Bin Zha
 ng.\n
LOCATION:https://researchseminars.org/talk/CANT2022/10/
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