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SUMMARY:Dharm Veer (Chennai Mathematical Institute)
DTSTART:20200819T053000Z
DTEND:20200819T063000Z
DTSTAMP:20260423T021437Z
UID:CATGT/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CATGT/6/">On
  h-Polynomials of Hibi rings</a>\nby Dharm Veer (Chennai Mathematical Inst
 itute) as part of Applications of Combinatorics in Algebra\, Topology and 
 Graph Theory\n\n\nAbstract\nLet $L$ be a finite distributive lattice. By a
  theorem of Birkhoff\, $L$ is the ideal lattice $\\mathcal{I}(P)$ of its s
 ubposet $P$ of join-irreducible elements. Let $P=\\{p_1\,\\ldots\,p_n\\}$ 
 and let $R=K[t\,z_1\,\\ldots\,z_n]$ be the polynomial ring in $n+1$ variab
 les over a field $K.$ The {\\em Hibi ring} associated with $L$\, denoted b
 y $R[L]$\,  is the subring of $R$ generated by the  monomials $u_{\\alpha}
 =t\\prod_{p_i\\in \\alpha}z_i$ where $\\alpha\\in L$. In this talk we will
  state the Charney–Davis-Stanley(CDS) conjecture and we will prove that 
 CDS conjecture is true for all Gorenstein Hibi rings of regularity $4$.\n
LOCATION:https://researchseminars.org/talk/CATGT/6/
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