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Universität Augsburg
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Universität Augsburg
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Professor Dr. Tobias Ekholm
Uppsala University
spricht am
Donnerstag, 13. November 2025
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12:15 Uhr
im
Raum 3008 (L1)
über das Thema:
| Abstract: |
| We explain how to define deformation invariant counts of holomorphic curves in a symplectic Calabi-Yau 3-fold with Maslov zero Lagrangian boundary condition. Wall crossing phenomena for moduli of such curves can be identified with the HOMFLYPT skein relations from knot theory and an invariant count is obtained by counting curves by the values of their boundaries in the skein module of the boundary condition. We discuss applications of this result including a proof of the Ooguri-Vafa conjecture relating holomorphic curves in the resolved conifold to knot theory and new recursion relations for the topological vertex. The talk reports on joint work with Vivek Shende and Pietro Longhi. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Kai Cieliebak |