| Language |
English
|
| From |
2010/12/10 10:30
|
| To |
2010/12/10 12:00
|
| Place | Room 152, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | Algebra Geometrical Seminar |
| Title |
Completions and Branched Covers |
| Field |
Algebra
Geometry
|
| Speakers | Daniel Allcock |
| Affiliation | Texas/Kyoto |
| Abstract | Many spaces of interest in algebraic geometry have covering spaces which are complements of hyperplane arrangements in various spaces. We study the metric-space completion of the universal cover of such a hyperplane complement. We show that under a certain local condition on the arrangement, the universal cover is contractible. We conjecture that this condition holds for the arrangement of a finite Coxeter group, and show that this conjecture implies the contractibility of (for example) the universal covers of the discriminant complements of all of Arnol'd's unimodal singularities. |
| Link | http://www.math.kyoto-u.ac.jp/~mhyo/agsem/agseminar.html |
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