- Moduli spaces of spatial and planar polygons.
- Navigational complexity.
- Moduli space of distinct points on the projective line.

We will meet twice a week and discuss some of the main results and problems. Details of each meeting will be posted below.

- Days: Wednesday and Friday
- Time: 9:10 am to 10:25 am
- Place: 801

- Farber M. Invitation to topological robotics. European Mathematical Society; 2008.
- Hausmann JC, Knutson A. Polygon spaces and grassmannians. Enseignement mathÃ©matique. 1997;43(1/2):173-98.
- Hausmann JC, Knutson A. The cohomology ring of polygon spaces. Annales de l'institut Fourier 1998 Jan 1 (Vol. 48, No. 1, p. 281).
- Panina G. Moduli space of planar polygonal linkage: a combinatorial description. arXiv:1209.3241.
- Panina G, Zhukova A. Discrete Morse theory for moduli spaces of flexible polygons, or solitaire game on the circle. arXiv:1504.05139.
- Devadoss S. Combinatorial equivalence of real moduli spaces. Notices of the AMS. 2004 Jun;51:620-8.
- Yoshida M. The democratic compactification of configuration spaces of point sets on the real projective line. Kyushu Journal of Mathematics. 1996;50(2):493-512.

Week | Material | Speaker | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|

13/08/2018 | Background and motivation. Basic definitions and complete analysis of moduli spaces of planar 4-gons. | Priyavrat | |||||||||

20/8/2018 | The smooth structure of moduli spaces. Some explicit homeomorphisms. | Priyavrat | |||||||||

27/08/2018 | Polygons and Grassmannians - I | Sambit | |||||||||

03/09/2018 | Polygons and Grassmannians - II | Sambit | |||||||||

10/09/2018 | Moduli space of points on the real projective line - I | Navnath | |||||||||

17/09/2018 | Moduli space of points on the real projective line - II | Navnath | |||||||||

24/09/2018 | Mid semester exam break | ||||||||||

01/10/2018 | Homology of planar polygon spaces | Deepraj | |||||||||

08/10/2018 | A cell structure for planar polygon spaces | Naagesh | |||||||||

15/10/2018 | Introduction to discrte Morse theory | Anurag | |||||||||

22/10/2018 | Discrte Morse theory for planar polygon spaces | Anurag | |||||||||

29/10/2018 | Symplectic geometry and polygon spaces | Sambit | 05/11/2018 | No meeting | 12/11/2018 | Symplectic geometry and polygon spaces | Sambit | 19/11/2018 | Topological complexity | Priyavrat |

Bootstrap Theme Made By www.w3schools.com