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时骁霖 博士:Complex cobordism, equivariant stable homotopy theory, and the Kervaire invariant

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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 时骁霖 博士，University of Chicago
Inviter:
Title:
 Complex cobordism, equivariant stable homotopy theory, and the Kervaire invariant
Time & Venue:
 2021.07.01 10:00-11:00 南楼N204室 腾讯会议：292 901 454
Abstract:
 I will talk about the complex cobordism spectrum and its role in studying the stable homotopy groups of spheres. Then, I will talk about the proof of the celebrated Kervaire invariant one problem by Hill—Hopkins—Ravenel using an equivariant refinement of the complex cobordism spectrum and equivariant stable homotopy theory. These newly established techniques allow one to use equivariant machinery to attack classical computations that were long considered unapproachable.

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