course: MINICOURSE: Hopf rings in topology and algebra
speaker: Dev Sinha (University of Oregon)abstract: We start with some topics very close to the theme of the workshop, namely the cohomology of unordered configuration spaces and in particular of symmetric groups, as recently studied by Giusti, Salvatore and myself. A key organizing concept is that of a Hopf ring, which is a ring object in the category of coaglebras. This notion has been mostly applied in the study of homology of spaces which represent multiplicative cohomology theories such as Eilenberg--MacClane spaces or infinite Grassmannians. But we have found that this structure also applies to cohomology, representation theory, and invariant theory of finite “series groups” such as symmetric or alternating groups and general linear groups over finite fields. We both revisit some classical topics and indicate some open areas of investigation stemming from these ideas.
timetable:
Mon 14 Jun, 16:00 - 17:00, Aula Dini
Tue 15 Jun, 11:15 - 12:45, Aula Dini
Wed 16 Jun, 9:30 - 11:00, Aula Dini
Fri 18 Jun, 9:30 - 11:00, Aula Dini
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