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SUMMARY:Naihuan Jing (North Carolina State University)
DTSTART:20251022T190000Z
DTEND:20251022T200000Z
DTSTAMP:20260420T053211Z
UID:NYC-NCG/211
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/211/
 ">q-Immanants and Higher Quantum Capelli Identities</a>\nby Naihuan Jing (
 North Carolina State University) as part of Noncommutative geometry in NYC
 \n\n\nAbstract\nImminents are generalizations of determinants and permanen
 ts.  In this talk I will explain how to construct the family of polynomial
 s $S_{\\mu}(z)$ indexed by standard Young tableaux whose coefficients are 
 central elements in the quantized algebra $U_q(gl(n))$. For another specia
 l value of $z$\, they coincide with Okounkov's quantum immanant for the en
 veloping algebra gl(n).  We show that the Harish-Chandra image of $S_{\\mu
 }(z)$ are the factorial Schur functions. We also obtain the quantum analog
 ues of the higher Capelli identities and Newton-type identities\nfor the q
 uantum enveloping algebra. This is joint work with Ming Liu and Alexander 
 Molev.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/211/
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