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Curvature and Characteristic Classes: Physical Applications (12-16.9.2022)

 

Information

Vector bundles over differentiable manifolds is a mathematical setup for physical theories. In this series of lectures, we describe the calculation of the Chern and Pontrjagin classes of a vector bundle (E) over a differentiable manifold (M), in terms of the invariant polynomials of the matrix of the curvature 2-form of the bundle (F). Action integrals expressed in terms of the curvature 2-form of the bundle have topological lower bounds given by the characteristic classes of the bundle. We illustrate these situations for specific examples. The lectures are based on the book “Characteristic Classes” by Milnor and Stasheff. A working knowledge of differential forms is needed.
Please register for the summer school by filling out the form in the website.
Poster

Advisory Committee

  • Tekin Dereli
  • Şahin Koçak
  • Aybike Özer

Lecturers

  • Ayşe Hümeyra Bilge

Guest Speakers

  • Tekin Dereli
  • Aybike Özer

Place

Online (Zoom link will be provided after registration with the participants)

Program

  • 10-13 Lectures (online); 14-16 Presentation of student’s work

Registration

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