Géométrie Algébrique non-commutative : les différentes facettes "physiques"

Europe/Paris
I 001 (Université d'Angers)

I 001

Université d'Angers

2, boulevard Lavoisier 49045 ANGERS CEDEX
Description
Ce colloque se tiendra sur les derniers travaux du professeur Olav Arnfinn Laudal, de l'université d'Oslo, pour une tentative d'explication mathématique de l'univers. Le colloque se déroulera sur trois jours : les matinées seront consacrées à une suite de mini-cours fait par O.A. Laudal. Durant les après-midi auront lieu une série de conférences par les invités suivants : Mattia Cafasso (Angers), Etienne Mann (Angers), Vladimir Retakh (Rutgers), Marco Robalo (Paris), Volodya Roubtsov (Angers), Alexei Zhedanov (Montréal et Kyoto).
Transparents
    • 9:00 AM 10:15 AM
      Noncommutative algebraic geometry and physics: Lecture 1

      In this series of talks I shall sketch a mathematical model for a Big Bang
      scenario, based on relatively simple deformation theory in non commutative
      algebraic geometry, and show that it leads to my "Toy Model", treated in
      the book "Geometry of Time-Spaces, (WS) 2011". More interesting is
      that this Big Bang Model comes with a universal local "Gauge Group", i.e.
      a Lie algebra containing the Lie algebras of the gauge groups of the
      Standard Model, acting on all relevant representations of the theory.
      Making precise the notion of quotient, in the non-commutative algebraic
      geometry of my tapping, the result seems to t well with the set-up of the
      Standard Model, and fuses, to some degree, quantum theory and general
      relativity.
      These subjects are all treated within the set-up of (WS), i.e. it is a purely
      mathematical model with, maybe, some interesting interpretations in
      physics.

    • 10:30 AM 11:45 AM
      Noncommutative algebraic geometry and physics: Lecture 2

      In this series of talks I shall sketch a mathematical model for a Big Bang
      scenario, based on relatively simple deformation theory in non commutative
      algebraic geometry, and show that it leads to my "Toy Model", treated in
      the book "Geometry of Time-Spaces, (WS) 2011". More interesting is
      that this Big Bang Model comes with a universal local "Gauge Group", i.e.
      a Lie algebra containing the Lie algebras of the gauge groups of the
      Standard Model, acting on all relevant representations of the theory.
      Making precise the notion of quotient, in the non-commutative algebraic
      geometry of my tapping, the result seems to t well with the set-up of the
      Standard Model, and fuses, to some degree, quantum theory and general
      relativity.
      These subjects are all treated within the set-up of (WS), i.e. it is a purely
      mathematical model with, maybe, some interesting interpretations in
      physics.

    • 2:15 PM 3:30 PM
      Exposé
    • 3:45 PM 5:00 PM
      Exposé
    • 9:15 AM 10:30 AM
      Noncommutative algebraic geometry and physics: Lecture 3

      In this series of talks I shall sketch a mathematical model for a Big Bang
      scenario, based on relatively simple deformation theory in non commutative
      algebraic geometry, and show that it leads to my "Toy Model", treated in
      the book "Geometry of Time-Spaces, (WS) 2011". More interesting is
      that this Big Bang Model comes with a universal local "Gauge Group", i.e.
      a Lie algebra containing the Lie algebras of the gauge groups of the
      Standard Model, acting on all relevant representations of the theory.
      Making precise the notion of quotient, in the non-commutative algebraic
      geometry of my tapping, the result seems to t well with the set-up of the
      Standard Model, and fuses, to some degree, quantum theory and general
      relativity.
      These subjects are all treated within the set-up of (WS), i.e. it is a purely
      mathematical model with, maybe, some interesting interpretations in
      physics.

    • 10:45 AM 12:00 PM
      Noncommutative algebraic geometry and physics: Lecture 4

      In this series of talks I shall sketch a mathematical model for a Big Bang
      scenario, based on relatively simple deformation theory in non commutative
      algebraic geometry, and show that it leads to my "Toy Model", treated in
      the book "Geometry of Time-Spaces, (WS) 2011". More interesting is
      that this Big Bang Model comes with a universal local "Gauge Group", i.e.
      a Lie algebra containing the Lie algebras of the gauge groups of the
      Standard Model, acting on all relevant representations of the theory.
      Making precise the notion of quotient, in the non-commutative algebraic
      geometry of my tapping, the result seems to t well with the set-up of the
      Standard Model, and fuses, to some degree, quantum theory and general
      relativity.
      These subjects are all treated within the set-up of (WS), i.e. it is a purely
      mathematical model with, maybe, some interesting interpretations in
      physics.

    • 2:15 PM 3:30 PM
      Exposé
    • 3:45 PM 5:00 PM
      Exposé
    • 9:15 AM 10:30 AM
      Noncommutative algebraic geometry and physics: Lecture 5

      In this series of talks I shall sketch a mathematical model for a Big Bang
      scenario, based on relatively simple deformation theory in non commutative
      algebraic geometry, and show that it leads to my "Toy Model", treated in
      the book "Geometry of Time-Spaces, (WS) 2011". More interesting is
      that this Big Bang Model comes with a universal local "Gauge Group", i.e.
      a Lie algebra containing the Lie algebras of the gauge groups of the
      Standard Model, acting on all relevant representations of the theory.
      Making precise the notion of quotient, in the non-commutative algebraic
      geometry of my tapping, the result seems to t well with the set-up of the
      Standard Model, and fuses, to some degree, quantum theory and general
      relativity.
      These subjects are all treated within the set-up of (WS), i.e. it is a purely
      mathematical model with, maybe, some interesting interpretations in
      physics.

    • 10:45 AM 12:00 PM
      Noncommutative algebraic geometry and physics: Lecture 6

      In this series of talks I shall sketch a mathematical model for a Big Bang
      scenario, based on relatively simple deformation theory in non commutative
      algebraic geometry, and show that it leads to my "Toy Model", treated in
      the book "Geometry of Time-Spaces, (WS) 2011". More interesting is
      that this Big Bang Model comes with a universal local "Gauge Group", i.e.
      a Lie algebra containing the Lie algebras of the gauge groups of the
      Standard Model, acting on all relevant representations of the theory.
      Making precise the notion of quotient, in the non-commutative algebraic
      geometry of my tapping, the result seems to t well with the set-up of the
      Standard Model, and fuses, to some degree, quantum theory and general
      relativity.
      These subjects are all treated within the set-up of (WS), i.e. it is a purely
      mathematical model with, maybe, some interesting interpretations in
      physics.

    • 2:15 PM 3:30 PM
      Exposé
    • 3:45 PM 5:00 PM
      Exposé