| Speaker: |
Alexander A. Voronov (Minnesota) |
| Title: |
Derived fusion tensor product |
| Date (JST): |
Thu, Mar 01, 2012, 15:30 - 17:00 |
| Place: |
Seminar Room A |
| Abstract: |
This is a report on a joint work with Akihiro Tsuchiya. In the context of conformal field theories (CFTs) coming from vertex operator algebras (VOAs), there is a fusion tensor product of VOA modules, defining the structure of a braided monodical category. In the well-studied examples of braided monodical categories, such as representations of quantum groups or rational CFTs, the fusion tensor product is exact. This property does not hold for more general VOAs. In my talk I will present the construction of a derived fusion tensor product and its properties. The derived fusion tensor product is expected to behave better than its underived counterpart. I will also discuss derived spaces of covacua (linear duals of conformal blocks) and certain conjectures on sheaves of covacua on the moduli spaces of curves.
|
