The topic in Spring 2026 is the SYZ Mirror Symmetry conjecture.
Time: Wednesdays 11AM
Location: Vincent Hall 570
References:
[AAK16] Abouzaid, M., Auroux, D., & Katzarkov, L., 2016. Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces.
[Aur07] Auroux, D., 2007. Mirror symmetry and T-duality in the complement of an anticanonical divisor
[CO06] C.-H. Cho, Y.-G. Oh, 2006. Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds
[Eva23] Evans, J., 2023. Lectures on Lagrangian Torus Fibrations
[SYZ96] Strominger, A., Yau, S.T. , Zaslow, E., 1996. Mirror Symmetry is T-Duality
[Hit97] Hitchin, N., 1997. The moduli space of special Lagrangian submanifolds
[Gr08] Gross M., 2008. The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations
[Ca03] Cannas da Silva, Ana. 2003. "Symplectic Toric Manifolds."
Spring 2026 Schedule:
01/28 - Organizational Meeting
02/04 - Arnold-Liouville and SYZ motivation - [Eva23, Ch. 1], [SYZ96]
Speaker: Anthony
02/11 - Lagrangian Fibrations - [Eva23, Ch. 2]
Speaker: Adam
02/18 - Toric Manifolds and Moment Maps - [Eva23. Ch.3 ], [Ca03]
Speaker: Lauren
02/25 - Focus-Focus Singularities - [Eva23, Ch. 6]
Speaker:
03/04 - Moduli Space of Special Lagrangians [Aur07, Ch. 2], [Hit97]
Speaker:
03/11 (Spring Break) -
03/18 - Landau-Ginzburg superpotential - [Aur07, Ch. 3], [CO06]
Speaker:
03/25 - Landau-Ginzburg superpotential cont. - [Aur07, Ch. 3], [CO06]
Speaker:
04/01 - SYZ mirror symmetry for torus fibrations - [Aur07, Ch. 4]
Speaker:
04/08 - CONTINUE TBD
Speaker:
04/15 - SYZ for Non-toric examples [Aur07, Ch. 5]
Speaker:
04/22 - CONTINUE TBD
Speaker:
04/29 - CONTINUE TBD
Speaker: