TGiZ-Seminar: Tropical geometry in Zoom (Second meeting)

Rohini Ramadas (University of Warwick)

Abstract:
The symmetric group on n letters acts on M_{0,n}-bar, 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}(M_{0,n}-bar) 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.