Algebra/Topology seminar

Speaker: Guchuan Li

Title: A lower bound of v_n-self maps of generalized Moore spectra.

Abstract: Chromatic periodicity theorem guarantees the existence of generalized Moore spectra of the form S/(p, v_1^{i_1}, ... , v_n^{i_n}). At small primes, the powers i_k cannot be 1. In this talk, at the prime 2, we present a lower bound of these i_k by determining minimal periodicities of their E_k^{hG} homology for each height k. This is joint work in progress with Zhipeng Duan, Guozhen Wang, and Wei Yang.