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March 14, 2017 | 2:00 p.m. - 3:00 p.m.
Category: Seminar
Location: Faculty/Administration #1146 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker:  Prasit Bhattacharay, University of Notre Dame

Title: Higher Associativity of Moore spectra

The spectrum $M_p(i)$, the cofiber of $p^i$-map on sphere spectrum do not inherit the $E_{infty}$-structure from the sphere spectrum. In fact the Conjecture is $M_p(i)$ is not even $A_{infty}$. In this talk I will explain a technique that will allow us to find a lower-bound on $n$, depedent on $i$, such that $M_p(i)$ admit an $A_n$-structure. Moreover, I will also explain how solving infinite loop space Adams conjecture in $p$-local settings (the $p$-complete version is due to Friedlander) may lead to an optimal bound. This is currently under investigation joint with N.Kitchloo. 

For more information about this event, please contact Department of Mathematics at 3135772479 or eb1208@wayne.edu.