This will be a continuation of last week's talk.
Abstract of last week's talk: Consider a polygon in R^3. We will explore the moduli space of deformations of this polygon that keep the lengths of the edges constant. The deformations are considered up to orientation preserving isometries of R^3. Over several lectures, we'll reveal that these moduli spaces are typically Kahler manifolds that are morally and literally related to moduli spaces of Riemann surfaces. We'll study their symplectic geometry, as well Euler classes of natural circle bundles over them, and we'll see that they are isomorphic to seemingly more sophisticated moduli spaces. Prerequisites will be kept to a minimum. One of the many motivations is that these moduli spaces provide an elementary and friendly setting to first encounter a number of important ideas useful all over mathematics. The first talk will begin with hands on exercise using polygons made of straws and string; come by my office (East Hall 5848) if you'd like to borrow a polygon to play with ahead of time. Rough notes are available at: https://www.dropbox.com/s/4eiq97tf54tqx19/polygons%20stable.pdf?dl=0 Speaker(s): Alex Wright (U(M))
Abstract of last week's talk: Consider a polygon in R^3. We will explore the moduli space of deformations of this polygon that keep the lengths of the edges constant. The deformations are considered up to orientation preserving isometries of R^3. Over several lectures, we'll reveal that these moduli spaces are typically Kahler manifolds that are morally and literally related to moduli spaces of Riemann surfaces. We'll study their symplectic geometry, as well Euler classes of natural circle bundles over them, and we'll see that they are isomorphic to seemingly more sophisticated moduli spaces. Prerequisites will be kept to a minimum. One of the many motivations is that these moduli spaces provide an elementary and friendly setting to first encounter a number of important ideas useful all over mathematics. The first talk will begin with hands on exercise using polygons made of straws and string; come by my office (East Hall 5848) if you'd like to borrow a polygon to play with ahead of time. Rough notes are available at: https://www.dropbox.com/s/4eiq97tf54tqx19/polygons%20stable.pdf?dl=0 Speaker(s): Alex Wright (U(M))
| Building: | East Hall |
|---|---|
| Event Type: | Workshop / Seminar |
| Tags: | Mathematics |
| Source: | Happening @ Michigan from Department of Mathematics |
