printable pdf
比利时vs摩洛哥足彩 ,
university of california san diego

****************************

combinatorics seminar (math 269)

brendon rhoades

ucsd

the superspace coinvariant ring

abstract:

the classical coinvariant ring $r_n$ is obtained from the polynomial ring $\mathbb{c}[x_1, \dots, x_n]$ by quotienting by the ideal $i_n$ generated by symmetric polynomials with vanishing constant terms. the {\em superspace coinvariant ring} $sr_n$ is obtained analogously, but starting with the ring $\omega_n$ of regular differential forms on $n$-space. we describe  the bigraded hilbert series of $sr_n$ in terms of ordered set partitions and give an `operator theorem' which describes the harmonic space attached to $sr_n$. this proves conjectures of n. bergeron, li, machacek, sulzgruber, swanson, wallach, and zabrocki. this talk is based on joint work with andy wilson.

may 23, 2023

4:00 pm

apm 6402 (halkin room)

****************************