The $S_n$ action on the homology groups of $\overline{M}_{0,n}$

Abstract: The symmetric group on $n$ letters acts on $\overline{M}_{0,n}$, and thus on its (co-)homology groups. The induced actions on (co-)homology have been studied by, eg., Getzler, Bergstrom-Minabe, Castravet-Tevelev. We ask: does $H_{2k}(\overline{M}_{0,n})$ admit an equivariant basis, i.e. one that is permuted by $S_n$? We describe progress towards answering this question. This talk includes joint work with Rob Silversmith.

algebraic geometrycombinatorics

Audience: researchers in the topic

Tropical Geometry in Frankfurt/Zoom TGiF/Z

Series comments: Description: An afternoon seminar series on tropical geometry, known as the TGiZ ("Tropical Geometry in Zoom") or the TGiF ("Tropical Geometry in Frankfurt") seminar.

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