| Speaker: | Shouhei Ma (University of Tokyo) |
|---|---|
| Title: | 0-dimensional cusps of the Kahler moduli of a K3 surface |
| Date (JST): | Thu, Feb 19, 2009, 15:30 - 17:00 |
| Place: | Seminar Room at IPMU Prefab. B |
| Abstract: | For a K3 surface, it is well-known that its Kahler moduli admits the Baily-Borel compactification. The central topic of my talk is that the 0-dimensional cusps of the Kahler moduli are in one-to-one correspondence with the twisted Fourier-Mukai partners of the K3 surface. This correspondence leads to a counting formula for the 0-dimensional cusps of Kahler moduli. When the Picard number of the K3 surface is 1, the correspondence can be described explicitly by using classical theory of elliptic modular curve. I will begin by recalling the notions of Fourier-Mukai partner and twisted Fourier-Mukai partner. |
