BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Angélica Osorno (Reed) DTSTART:20201012T150000Z DTEND:20201012T160000Z DTSTAMP:20260423T021215Z UID:OATS/17 DESCRIPTION:Title: Tr ansfer systems and weak factorization systems\nby Angélica Osorno (Re ed) as part of Online algebraic topology seminar\n\n\nAbstract\n$N_\\infty $ operads over a group G encode homotopy commutative operations together w ith a class of equivariant transfer (or norm) maps. Their homotopy theory is given by transfer systems\, which are certain discrete objects that hav e a rich combinatorial structure defined in terms of the subgroup lattice of G. In this talk\, we will show that when G is finite Abelian\, transfer systems are in bijection with weak factorization systems on the poset cat egory of subgroups of G. This leads to an involution on the lattice of tra nsfer systems\, generalizing the work of Balchin–Bearup–Pech–Roitzhe im for cyclic groups of squarefree order. We will conclude with an enumera tion of saturated transfer systems and comments on the Rubin and Blumberg –Hill saturation conjecture.\n\nThis is joint work with Evan Franchere\, Usman Hafeez\, Peter Marcus\, Kyle Ormsby\, Weihang Qin\, and Riley Waugh .\n LOCATION:https://researchseminars.org/talk/OATS/17/ END:VEVENT END:VCALENDAR