比利时vs摩洛哥足彩
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university of california san diego
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advancement to candidacy
jesse kim
ucsd
a combinatorial model for the fermionic diagonal coinvariant ring
abstract:
the fermionic diagonal coinvariant ring was introduced by rhoades and jongwon kim and is a quotient of a polynomial ring in two sets of $n$ anticommuting variables modulo $\mathfrak{s}_n$ invariant polynomials with no constant term, where the action of $\mathfrak{s}_n$ permutes both sets of variables simultaneously. in this talk, we will introduce a basis of this ring for which the action of $\mathfrak{s}_{n-1} \subset \mathfrak{s}_n$ can be interpreted combinatorially and use this basis to determine the isomorphism type of the ring. we will also relate our basis to a cyclic sieving result by thiel.
advisor: brendon rhoades
february 17, 2022
3:00 pm
zoom id: 918 8760 6616
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