“In this workshop, we will bring algebraic geometers and string theorists together to discuss these topics and identify new topics of common interest. We particularly hope to attract algebraic geometers who have not actively worked on string-related topics before, and to this end the workshop will include a series of introductory lectures for mathematicians, one per day, on the general structure of string compactification and physics methods (effective field theory), how singularities appear in string theory, and a cultural lecture on how physicists hope to someday test these ideas with experiment.
More advanced topics might include an introduction to F-theory and F-theory based phenomenology, an exploration of current research on codim 2 (and higher) singularities, a survey of the new N=2 dualities and related integrable systems, physics interpretation of wall crossing formulas, new approaches to TQFTs, and symmetry and singularities in the Geometric Langlands program.”
Organizers:
Mike Douglas, Ron Donagi and Paul Aspinwall
Participants:
David Ben-Zvi, Volker Braun, Kwokwai Chan, Herb Clemens, Adrian Clingher, Alessio Corti, Duiliu Emanuel Diaconescu, Jacques Distler, James Fullwood, Mark Green, Samuel Grushevsky, Sergei Gukov, Kentaro Hori, Elham Izadi, Ljudmila Kamenova, Sheldon Katz, Sean Keel, Siu-Cheong Lau, Joe Marsano, Ilarion Melnikov, Andrew Neitzke, Jeremy Pecharich, Ronen Plesser, Natalia Saulina, Justin Sawon, Sakura Schafer-Nameki, Chad Schoen, Jason Starr, Johannes Walcher, Noriko Yui
Morning Sessions beginning at 9:30am “Linear sigma models and (0,2) models” Paul Aspinwall, Ilarion Melnikov and Ronen Plesser — Video-1, Video-2, Video-3
12:00 Lunch
1:30 Corti: “Mirror symmetry and Fano manifolds” — Video
2:30 Katzarkov: “Stability Hodge Structures, TQFT and categorical invariants” — Video
3:30 Tea
Morning Sessions beginning at 9:30am “F theory and singularities” Ron Donagi and Joe Marsano — Video-1, Video-2
12:00 Lunch
1:30 Keel: “Mirror Symmetry Made Easy” — Video
2:30 Braun: “Toric Elliptic Fibrations and F-Theory” — Video
3:30 Tea
Morning Sessions beginning at 9:30am “Open string mirror symmetry” Emanuel Diaconescu and Johannes Walcher — Video-1, Video-2, Video-3
12:00 Lunch
1:30 Chan: “Enumerative meaning of mirror maps for toric Calabi-Yau manifolds” — Video
2:30 Lau: “Open GW invariants and Seidel elements of toric manifolds” — Video
3:30 Tea
Morning Sessions beginning at 9:30am “Wall crossing and Hitchin systems” Jacques Distler and Andy Neitzke — Video-1, Video-2
12:00 Lunch
1:30 Gukov: “Surface operators and ramification in geometric Langlands program” — Video
2:30 Yui: “Automorphy of some K3 fibered Calabi-Yau threefolds” — Video
3:30 Tea