Courses
Courses taught by members of the group in the academic year 2026/27. Each title links to the page of the course on the website of the University of Milan, with its timetable and exams.
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Gravity and Superstrings 1
Syllabus
Advanced topics in gravity: De Sitter and anti-de Sitter spaces, introduction to the physics and thermodynamics of black holes, topological black holes, gravity in three dimensions as a Chern-Simons theory, BTZ black hole, stellar structure, Tolman-Oppenheimer-Volkov equation.
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Gravity and Superstrings 2
Antonio Amariti and Alberto Santambrogio
Syllabus
The course is divided in two modules:
-Introduction to String theory: quantization of the open and of the closed sector of the bosonic string theory. The case of the superstring.
-Introduction to Supersymmetry in 4d: Poincare' algebra and supersymmetric extension, supersymmetric action, supersymmetric variations and supersymmetry breaking. -
Mathematical Methods in Physics: Geometry and Group Theory 2
Syllabus
This course covers Lie groups and Lie algebras, from differential geometry and the classification of semisimple algebras to their representations (weights, decompositions). It applies them to physics symmetries: U(N), O(N), the Lorentz group, and the Poincaré group, whose representations are classified by mass and spin.
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Mathematical Methods in Physics: Differential Equations
Syllabus
Distributions, Fourier transform, classification of linear partial differential equations, Cauchy problem, Cauchy-Kowalevsky theorem, method of Lagrange-Charpit, KdV equation, Bäcklund transformations.
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Introduction to General Relativity
Syllabus
Introduction to differential geometry, Einstein equations, Newtonian limit, Schwarzschild solution, classical tests of GR, FLRW cosmology.