| Speaker: | Mark Gross (University of Cambridge) |
|---|---|
| Title: | Intrinsic Mirror Symmetry |
| Date (JST): | Mon, Feb 25, 2019, 13:15 - 14:45 |
| Place: | Seminar Room B |
| Abstract: |
In joint work with Bernd Siebert, we propose a general construction of mirror pairs. More precisely, given a pair (Y,D) with Y a smooth projective variety and D a normal crossings divisor, in certain cases we are able to define a ring using algebro- geometric methods which should be analogous to a certain piece of symplectic homology in nice cases. This includes the log Calabi-Yau case. This ring should be the ring of functions on the mirror family. If (Y,D) is sufficiently degenerate, then this ring of functions is expected to be sufficient information to recover the mirror. This approach also applies to degenerations of Calabi-Yau varieties, permitting the construction of the homogeneous coordinate ring of the mirror. |
| Remarks: | Blacboard talk |
