This two-semester seminar will focus on the physics and mathematics underlying gauged linear sigma models, with the goal of understanding the monomial-divisor mirror map for Calabi-Yau hypersurfaces. Broadly speaking, we will cover:
Students from both the mathematics and physics departments are encouraged to participate. The student-given talks will aim to develop a healthy mix of the abstract (sheaf cohomology & residues) and the concrete (computing correlators in twisted theories) in a way that is accessible to beginning graduate students and useful for older students as well.
Meeting Information
| Meeting Time | 10.30-11.30 am |
| Meeting Location | DRL 2C2 |
Content
This semester we will begin with a thorough treatment of GLSMs, on the level of Witten's Phases (hep-th/9301042) and Morrison & Plesser's Summing the Instantons... (hep-th/9412236). We will continue with explorations of computing A- and B-model correlators using Landau-Ginzburg models and Coloumb branch techniques. Finally, we will explore mirror symmetry in the model, with the goal understanding the toric residue mirror conjecture in math/0203216.
Papers
Participants
| Date | Speaker | Topic |
| 7 April 2010 | Charles Siegel | Toric Residues à la Cox |
| 31 March 2010 | Josh Guffin | The GLSM IV - Correlators and topological models continued |
| 24 March 2010 | Josh Guffin | The GLSM III - Correlators and topological models |
| 17 March 2010 | Cancelled | |
| 3 March 2010 | Josh Guffin | The GLSM II - Quantum aspects |
| 24 February 2010 | Josh Guffin | The GLSM I - Classical aspects |
| 17 February 2010 | Josh Guffin | The symplectic quotient construction of toric varieties |
| 10 February 2010 | Cancelled due to weather | |
| 3 February 2010 | Jim Halverson | A QFT Primer II |
| 27 January 2010 | Jim Halverson | A QFT Primer I |