| Language |
English
|
| From |
2010/01/08 10:30
|
| To |
2010/01/08 12:00
|
| Place | Room 152, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | Algebra Geometrical Seminar |
| Title |
Log minimal model program for moduli spaces of pointed curves |
| Field |
Algebra
Geometry
|
| Speakers | David Smyth |
| Affiliation | Harvard |
| Abstract | The space of Deligne-Mumford stable curves gives a beautiful compactif
ication of the space of smooth curves which has connections to many areas of
mathematics. In this talk, we will discuss alternate stability conditions f
or pointed curves in which the curve may acquire more exotic singularities s
uch as cusps, tacnodes, and planar triple-points, and the marked points may
collide. Each of these alternate stability conditions gives rise to a birati
onal contraction of the space of Deligne-Mumford stable curves. In particula
r, we obtain sufficiently many contractions to run a minimal model program o
n the space of pointed stable curves of genus one. |
| Link | http://www.math.kyoto-u.ac.jp/~mhyo/agsem/agseminar.html |
|