Title: Higher Associativity of Moore spectra
Speaker: Prasit Bhattacharya
Speaker Info: Indiana University
Brief Description:
Special Note:
Abstract:
Not much is known about homotopy coherent ring structures of the Moore spectrum $M_p(i)$ (the cofiber of $p^i$ self-map on the sphere spectrum $S^0$), especially when $i > 1$. Stasheff developed a hierarchy of coherence for homotopy associative multiplications called $A_n$ structures. The only known results are that $M_p(1)$ is $A_{p-1}$ and not $A_p$ and that $M_2(i)$ are at least $A_3$ for $i>1$. In this talk, techniques will be developed to get estimates of `higher associativity' structures on $M_p(i)$.Date: Monday, October 27, 2014