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September 26, 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:  Andrew Salch, Wayne State University

Title:  Current results on special values and stable homotopy groups

Abstract: This will be a talk on known results, expected results, and work in progress on formulas relating orders of Bousfield-localized stable homotopy groups of finite spectra to special values of L-functions, and applications of these formulas.

In one direction, organizing the famously complicated patterns in the stable homotopy groups of finite spectra by expressing them in terms of special values gives us a clean way to express and understand these complicated patterns, and to conjecture what the results of further computations in stable homotopy groups of spheres ought to be; in the other direction, these results lead to topological proofs of substantial results in number theory.

As an example of this last idea, the speaker will present a proof that a certain (infinite) family of cases of Leopoldt's conjecture follows from the existence of periodic families in the KU-local stable homotopy groups of Moore spectra.

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