Arithmetic and Geometry of Picard-Fuchs Differential Equations

IMPA, Rio de Janeiro, de 20/08 até 21/08

Abstracts

Abstracts

Financial Support

Students who need financial support are requested to ask a university professor to send a recommendation letter to modular@impa.br no later than 15/07/2012

Os estudantes que necessitam de suporte financeiro, por favor , solicitem a um professor universitario uma carta de recomendação. A carta deverá ser enviada para modular@impa.br até o dia 15/07/2012.

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

Organizing Committee

Hossein Movasati (IMPA)

Program

Program

Registration

Students who need financial support are requested to ask a university professor to send a recommendation letter to modular@impa.br no later than 15/07/2012.

Os estudantes que necessitam de suporte financeiro, por favor , solicitem a um professor universitario uma carta de recomendação. A carta deverá ser enviada para modular@impa.br até o dia 15/07/2012.

Speakers

Michael Bogner – Mainz University – Germany
Benjamin Collas – Bayreuth University – Germany
Joerg Hofmann – Mainz University – Germany
Stefan Reiter – Bayreuth University – Germany
Khosro Monsef Shokri – IMPA

Video

Vídeos