| Speaker: | Ivan Cheltsov (Edinburgh) |
|---|---|
| Title: | What are higher-dimensional analogues of D_n, E_6, E_7 and E_8 singularities? |
| Date (JST): | Tue, Nov 08, 2011, 10:30 - 12:00 |
| Place: | Seminar Room A |
| Abstract: | Exceptional and weakly-exceptional singularities were introduced by Slava Shokurov in his famous paper on 3-fold log flips. Exceptional two-dimensional singularities are exactly singularities of type E_6, E_7 and E_8. Weakly-exceptional two-dimensional singularities are exactly singularities of type D and E_6, E_7 and E_8. Exceptional quotient singularities of dimension up to 7 have been classified by Yura Prokhorov, Dima Markushevich, me and Costya Shramov. Weakly-exceptional quotient singularities of dimension 3 and 4 have been classified by my PhD student Dima Sakovich. In my talk I will sketch a geometric weakly-exceptionality criterion for five-dimensional and six-dimentional quotient singularities. I will also explain how this is related to Fano orbifolds and Kahler-Einstein metrics on them. This is a joint work with Costya Shramov. |
