1:00 pm Wednesday, September 21, 2005
Geometry and String Theory Seminar: Deformation theory, mirror symmetry, stacks, and physics by Eric Sharpe (University of Utah) in RLM 9.166
An overview of the papers w/Tony Pantev, oriented towards a math audience. I'll explain the potential problem w/ presentation-dependence, the mismatch between the math deformation theory and the physical deformation theory, and how, once one generates a consistent picture, this all correlates with mirror symmetry for stacks. So, gauged linear sigma models for stacks, Hori-Vafa-Morrison-Plesser-type constructions, Borisov-Chen-Smith toric stacks and how they correlate with HVMP and Batyrev-type constructions, Landau-Ginzburg models with ``fields valued in roots of unity'' and so forth, as well as the predictions this makes for the notion of Gromov-Witten theory for stacks that mathematicians have previously worked out. Submitted by
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