... The French-Russian Poncelet Laboratory organizes a conference on "Algorithms and Arithmetic", Mai 17-19, 2010, to take place in the Independent University of Moscow. ... Just regarding any symbolic computation software (like Pari, Magma, Sage), one can see that there exists a real desire to manipulate on computers a large family of mathematical objects (sometimes very abstract) coming from number theory: number fields, p -adic numbers, Galois groups, schemes, modular forms, etc. ... Galois Theory. ...