Mathematical Conversations | |

Topic: | The cosmic Galois group, a tale of geometry, number theory and physics |

Speaker: | Pierre Cartier |

Affiliation: | Institut des Hautes Etudes Scientifiques |

Date: | Friday, November 8 |

Time/Room: | 6:30pm - 7:30pm/Dilworth Room |

Grothendieck has proposed, under the name of "motives" a kind of Galois theory for non algebraic numbers. A mystery of the so-called "standard model" in high energy physics is the occurrence of about twenty numerical constants, independent of the choice of any unit, and whose determination rests solely on data-fitting. I propose the beginning of an explanation by introducing a new kind of symmetry group acting on these constants. In a way this symmetry group should be an extension of the so-called "renormalisation group" a la Connes-Kreimer. http://www.math.ias.edu/~nicks/conversations.html