Toric degenerations and Calabi-Yau orbifolds

• Applicant: Professor Dr. Helge Ruddat
• Subject Area: Mathematics
• Term: from 2010 to 2011
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 165706425

Since the discovery of canonical smoothing for a degenerate Calabi-Yau manifold by Gross and Siebert in 2007, the scientific program of toric degenerations and affine manifolds has become recognized as the right framework to understand the complex parameter side of the mirror Symmetry of Calabi-Yau manifolds. The proposal concerns important applications of the program to answer cohomological and enumerative questions. I intend to gain an understanding of the role of the Kahler parameters in the conjectural definition of string cohomology and to construct a tropical point of view on conifold transitions. Degenerations of orbifold Calabi-Yau s play an essential role in both of these.

• DFG Programme: Research Fellowships
• International Connection: USA
• Host: Professor Dr. Constantin Teleman