Refined curve counting, quivers, and wall-crossing
Event details
| Date | 10.04.2013 |
| Hour | 14:15 › 16:00 |
| Speaker | Jacopo Stoppa, University of Pavia |
| Location | |
| Category | Conferences - Seminars |
In the first part of the talk I will sketch some aspects of an interesting Gromov-Witten theory on weighted projective planes introduced by Gross, Pandharipande and Siebert. It admits a very special expansion in terms of tropical counts (called the tropical vertex), as well as a conjectural BPS structure. In the second part I will describe a refinement or "q-deformation" of the expansion using Block-Goettsche invariants, motivated by wall-crossing ideas. This leads naturally to a definition of a class of putative q-deformed curve counts. We prove that this coincides with another natural q-deformation, provided by a result of Reineke and Weist in the context of quiver representations, when the latter is well defined (joint with S. A. Filippini).
Practical information
- General public
- Free