| Description: | [DMS Seminar] Prof. Mahuya Datta (ISI Kolkata) -- Gromov's Conjecture on Non-free Isometric Immersions |
| Date: | Thursday, Mar 15, 2018 |
| Time: | 2 p.m. - 3 p.m. |
| Venue: | G08, Lecture Hall Complex |
| Details: | The differential equation describing isometric immersions of a Riemannian manifold $M$ of dimension $n$ into the Euclidean space $\mathbb R^q$ is an underdetermined system in the range $q > n(n+1)/2$. By a celebrated result of John Nash, the associated differential operator $\mathcal D$ is infinitesimally invertible on the space of free immersions provided $q\geq n+n(n+1)/2$. Gromov conjectured that the operator is possibly infinitesimally invertible on generic set of maps for $q\geq n(n+1)/2+n-\sqrt{n/2}$, We shall outline the idea of Gromov and mention some recent progress made in that direction. |
| Calendar: | Seminar Calendar (entered by saugata.bandyopadhyay) |