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K-theory and Motivic Homotopy Theory Seminar - James Quigley

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October 19, 2017
3:00PM - 4:00PM
Enarson Classroom Bldg 340

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Add to Calendar 2017-10-19 15:00:00 2017-10-19 16:00:00 K-theory and Motivic Homotopy Theory Seminar - James Quigley Title: The motivic Mahowald invariantSpeaker: James Quigley (University of Notre Dame)Abstract: The classical Mahowald invariant is a construction which produces nonzero classes in the stable homotopy groups of spheres from classes in lower stems. Mahowald and Ravenel showed that the Mahowald invariant of 2^i is the first nonzero class in the positive degree stable stems in Adams filtration i, supporting the conjecture that the Mahowald invariant increases chromatic height. In this talk, I will define an analog of the Mahowald invariant in the setting of motivic stable homotopy theory over the complex numbers. I will discuss two motivic analogs of Mahowald and Ravenel's classical computation and explain how these results relate to classical and exotic periodicity in the motivic stable stems. Enarson Classroom Bldg 340 Department of Mathematics math@osu.edu America/New_York public

Title: The motivic Mahowald invariant

Speaker: James Quigley (University of Notre Dame)

Abstract: The classical Mahowald invariant is a construction which produces nonzero classes in the stable homotopy groups of spheres from classes in lower stems. Mahowald and Ravenel showed that the Mahowald invariant of 2^i is the first nonzero class in the positive degree stable stems in Adams filtration i, supporting the conjecture that the Mahowald invariant increases chromatic height. In this talk, I will define an analog of the Mahowald invariant in the setting of motivic stable homotopy theory over the complex numbers. I will discuss two motivic analogs of Mahowald and Ravenel's classical computation and explain how these results relate to classical and exotic periodicity in the motivic stable stems.

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