Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Department Colloquium: Stable Homotopy Groups and Higher Algebra

Event Type: Seminar/Symposium
Sponsor: Department of Mathematics
Location: Altgeld 245
Date: Apr 3, 2025 4:00 pm
Speaker: Tomer Schlank (Chicago)
Views: 125
Originating Calendar: Mathematics Colloquium & Named Lectures; Abstract: One key goal of homotopy theory is to understand the stable homotopy groups of spheres. This problem naturally arises as a question about what homotopy theorists call spectra. Spectra are a fundamental concept in homotopy theory, analogous in many ways to abelian groups. This analogy allows classical algebra to extend into what Friedhelm Waldhausen termed "Higher Algebra," where spectra play the role of abelian groups. In this talk, we will discuss how this perspective suggests an approach to detecting patterns in stable homotopy groups of spheres, and how recent joint results with Burklund, Carmeli, Hahn, Levy, and Yanovski provide new asymptotic lower bounds on their size.

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