CMI Workshop:
Geometry and Physics of the Landau-Ginzburg Model
January 12 – 16, 2009
The Landau-Ginzburg model has been known to be an important model in physics for a long time. During last several years, a great deal of progress has been made toward understanding it mathematically. Its role in mirror symmetry, the Landau-Ginzburg/Calabi-Yau correspondence, and connections to integrable hierarchies are all becoming increasingly important. With these recent advances, the sub ject seems to be at the edge of explosive growth.
The aim of this conference will be to bring together distinguished speakers from both physics and mathematics to interchange ideas and learn about the most important advances from each other. Ample opportunities will be reserved for students and early career mathematicians and physicists to participate in this conference and to become more involved in this interesting area of mathematics and physics.
Schedule
Monday, January 12
| 9:00-10:00 | Registration |
| 10:00-11:00 | Dan Abramovich, On Jun Li's Proof of the Degeneration Formula |
| 11:30-12:30 | Mark Gross, Mirror Symmetry for P2 and Tropical Geometry |
| 2:00-3:00 | Denis Auroux, Lagrangian Fibrations and Mirror Symmetry for Blowups Background Material |
| 3:15-4:15 | Takashi Kimura, Orbicurves in Gromov-Witten Theory and Higher Spin Theory |
Tuesday, January 13
| 10:00-11:00 | Paul Seidel, Homological Mirror Symmetry for the Genus Two Curve Paper |
| 11:30-12:30 | Tyler Jarvis, The Witten Equation, Mirror Symmetry and Quantum Singularity Theory |
| 2:00-3:00 | Ralph Kaufmann, Orbifold Landau-Ginzburg Theories, Mirror Symmetry and Frobenius Structures |
| 3:15-4:15 | Eric Sharpe, A-twisted Landau-Ginzburg Models, Gerbes, and Kuznetsov's Homological Projective Duality |
| 4:30-5:30 | Todor Milanov, W-constraints for Singularities of Type A_N |
Wednesday, January 14
| 10:00-11:00 | Kentaro Hori, Phases of N=2 Theories in 1+1 Dimensions with Boundary |
| 11:30-12:30 | Huijun Fan, Constructing the Virtual Fundamental Cycle in Landau-Ginzburg A Model Paper |
| 2:00-3:00 | Arkady Vaintrob, Algebraic Construction of the Virtual Class in the Fan-Jarvis-Ruan |
| 3:15-4:15 | Cumrun Vafa, The N-topological Vertex |
| 4:30-5:30 | Dimitri Zvonkine, Commutativity Equations |
Thursday, January 15
| 10:00-11:00 | Carel Faber, A Remark on a Conjecture of Hain and Looijenga |
| 11:30-12:30 | Marc Krawitz, FJRW-ring and Mirror Symmetry of Singularities |
| 2:00-3:00 | Albrecht Klemm, Topological String Theory near Landau-Ginzburg Points |
| 3:15-4:15 | Alessandro Chiodo, Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations Paper |
| 4:30-5:30 | Ludmil Katzarkov, Homological Mirror Symmetry and Birational Geometry |
Friday, January 16
| 9:00-10:00 | Alexander Givental, Mirror Theory of Toric Fibrations (After Jeff Brown) |
| 10:00-11:00 | Mohammed Abouzaid, Homological Mirror Symmetry for T4 |
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