| DCat2014-15 | Main | Venue | Program | Abstracts | Registration |
The Homological Mirror Symmetry conjecture (HMS) was first proposed by Maxim Kontsevich in his 1994 ICM talk. This suggested that mirror symmetry could be explained as an isomorphism between symplectic and complex geometry, made explicit as an isomorphism between the Fukaya category of Lagrangians and the derived category of coherent sheaves.
Since it was first proposed, huge strides have been made. The foundations of the Fukaya category have solidified, and many cases of HMS have been actually proven, including for Landau-Ginzburg mirrors to toric varieties, certain hypersurfaces in projective space, and punctured Riemann surfaces. Other recent progress is leading to a greater understanding of what needs to be done to complete a proof of HMS in general.
This workshop will draw together many key players in the field, specialists both on the symplectic side and the complex side. We hope that the workshop will provide an environment which will foster new progress on HMS and related questions.
Scope: Homological Mirror Symmetry. TQFT. Quantum integrable systems. Wall Crossing. BPS spectrum and Gaiotto–Moore–Neitzke construction. DT theory. Alday–Gaiotto–Tachikawa conjectures. Homological invariants of knots and their relation to string theory. Stability Hodge Structures.