Will give a Topology Seminar entitled:
Splittings and cooperations in motivic homotopy theory
Abstract: The stable homotopy groups of spheres are the most important and interesting invariants in stable homotopy theory. Computing these groups is a central task in the field. One approach to this task is by using the Adams spectral sequence, which grants one a global description of this object. However, there is another, more localized approach. At any prime, one can organize the elements of the stable stems into periodic, infinite families. We can then ask to compute just one periodic layer of the stable stems at a time. At the prime 2, Mahowald completely determined the v1-periodic stable stems completely by using the bo-resolution. In this talk, we will investigate an analogous question in motivic homotopy theory. In particular, we will compute the E1-page of the kq-resolution over the real numbers and all finite fields.
Date: 09-09-2025
Time: 2:15 pm
Location: 258 Hurley Bldg