Yajit Jain (Northwestern) "Fiberwise Poincare–Hopf Theory and Exotic Smoothings of Manifold Bundles"
- Monday, February 8, 2021 from 4:10pm to 5:15pm
- Zoom meeting: 989 6034 6659 Password: math
Virtual Math Seminar.
Monday, February 8, 4:10-5:15pm MT
Zoom link, meeting, and password:
- 989 6034 6659
Yajit Jain (Northwestern University)
Fiberwise Poincare–Hopf Theory and Exotic Smoothings of Manifold Bundles
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.
- Department of Mathematical Sciences