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Yajit Jain (Northwestern) "Fiberwise Poincare–Hopf Theory and Exotic Smoothings of Manifold Bundles"

When:

Monday, February 8, 2021 from 4:10pm to 5:15pm

Where:

Zoom meeting: 989 6034 6659 Password: math

Description:

Virtual Math Seminar.

Monday, February 8, 4:10-5:15pm MT

Zoom link, meeting, and password:

  • https://zoom.us/j/98960346659?pwd=YVpSTzVuOTUwYzFRWmQvNktqeTg1Zz09
  • 989 6034 6659
  • math

Speaker.

Yajit Jain (Northwestern University)

Title.

Fiberwise Poincare–Hopf Theory and Exotic Smoothings of Manifold Bundles

Abstract.

We will discuss the Rigidity Conjecture of Goette and Igusa, which states that, after stabilizing and then rationalizing, there are no exotic smoothings of manifold bundles with closed even dimensional fibers. After motivating this work through classical results such as Smale's h-cobordism theorem, and later work such as that of Dwyer, Weiss, and Williams, we will discuss fiberwise Poincare–Hopf theory and the duality theorems that lead to a proof of the aforementioned conjecture. 

Contact:

Department of Mathematical Sciences
Blair Davey
(406) 994-3123
[email protected]

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