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Texas A&M University
Mathematics

Events for 04/06/2022 from all calendars

Topology Seminar

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Time: 4:00PM - 5:00PM

Location: zoom

Speaker: Eva Belmont, University of California San Diego

Title: New beta families at p=3 in the homotopy groups of spheres

Abstract: Computing the stable homotopy groups of spheres is one of the most important motivating problems in homotopy theory. The chromatic approach gives a roadmap for constructing infinite families of elements in the homotopy groups of spheres, organized by a filtration known as chromatic height. Heights 0 and 1 are long understood; height 2 is an area of active interest. Aided by computer calculations, I describe some new height 2 families at the prime 3; these families are interesting in part because they are detected by the image of the Hurewicz map $S\to tmf$, and in fact give a complete description of the image. This is joint work with Katsumi Shimomura.