Minicourses: CiocanFontanine Iritani Jarvis Pixton Wise
Talks Beer Talks

Toric Mirror Symmetry
Hiroshi Iritani
(Kyoto University) In the minicourse I will explain Hodgetheoretic mirror symmetry and its global aspects in toric context. The global picture explains phenomena of analytic continuation in GromovWitten theory such as crepant resolution conjecture or LG/CY correspondence. These phenomena are closely related to equivalence of derived categories and I will explain that the Gamma class plays a crucial role there.
References:
1) Coates, Iritani, Tseng "Wallcrossings in toric GromovWitten theory I: crepant examples"
2) Katzarkov, Kontsevich, Pantev "Hodge theoretic aspects of mirror symmetry"
3) Iritani "An integral structure in quantum cohomology and mirror symmetry of toric orbifolds"
4) Chiodo, Iritani, Ruan "LandauGinzburg/CalabiYau correspondence, global mirror symmetry and Orlov equivalence"
5) Coates, Corti, Iritani, Tseng, "Mirror Theorem for Toric Stacks"
6) Galkin, Golyshev, Iritani "The Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures"
