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Oct10

Analysis Seminar: Inequalities for the Bergman Projection: A Story Linking Harmonic Analysis, Complex Analysis, and Operator Theory II

Oct 10, 2025, 11:30 AM - 12:30 PM

Oct10

Dissertation Defense - Environmental Science and Policy

Oct 10, 2025, 12:00 - 2:00 PM

Hybrid: Potomac Science Center 3102 & Virtual on Zoom
Register in advance to join by Zoom here: https://tinyurl.com/5xp84s6y

Oct10

CAGS: Homological generalization for random graphs

Oct 10, 2025, 12:30 - 1:30 PM

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Mathematics Colloquium: Exotic spheres and stable homotopy theory

Sep 19, 2025, 3:30 - 4:30 PM

 

Speaker:  J. D. Quigley, University of Virginia

Title: Exotic spheres and stable homotopy theory

 

Abstract:    In 1956, Milnor produced the first exotic spheres: smooth manifolds which are homeomorphic, but not diffeomorphic, to spheres with their standard smooth structure. Classifying and understanding exotic spheres has been a central problem in geometric topology ever since. In this talk, I will discuss two problems: in which dimensions do exotic spheres exist, and which exotic spheres possess smooth rotational symmetry? It turns out that both problems can be approached using stable homotopy theory. I hope to explain this connection and present some recent work on these problems, joint with Bauer, Behrens and Mahowald, Bhattacharya and Bobkova, Botvinnik, and Wang.

 

Time:  Friday, September 19, 3:30pm – 4:20pm

Place:  Exploratory Hall, room 4106

Zoom and In-person

 

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