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Arithmetic and Geometry of Picard-Fuchs Differential Equations

Objective
Picard-Fuchs differential equations are particular linear differential equations which arise from the variation of algebraic varieties. In the particular case of Calabi-Yau varieties they have many applications in Physics, mirror symmetry and in particular the calculation of Gromov-Witten invariants and partition functions.
The principal goal of the workshop is to introduce new development and give directions to future researches in geometric, arithmetic, group theory and Physics applications of Picard-Fuchs equations. The following topics will be covered:
1. Calabi-Yau Picard-Fuchs equations
2. Period and monodromy calculations
3. Middle convolution of linear differential equations
4. Partition functions and modular forms attached to Calabi-Yau varieties

IMPA - Instituto de Matemática Pura e Aplicada ©
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Objective
Picard-Fuchs differential equations are particular linear differential equations which arise from the variation of algebraic varieties. In the particular case of Calabi-Yau varieties they have many applications in Physics, mirror symmetr...
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