Advanced Graduate Lecture Course:

**Lecture Course (260053 VO):** January 10 to 29, 2018

Time: 9:15 - 10:45 a.m

**Abstract:**

In the he first part of the course I give an extensive introduction into the frame-independent formulation of Newtonian Gravity developed by Elie Cartan, the so-called Newton-Cartan Gravity. Examples from General relativity are used to explain the construction of this Newton-Cartan formulation.

In the second part of the course I will discuss three more specialistic topics: (i) Non-relativistic limits, (ii) Non-relativistic supersymmetry and (iii) Applications to a concrete model: the Quantum Hall Effect.

**Content of the course:**

- Lecture 1: an overview of those aspects of General Relativity that are relevant for the remaining part of the course
- Lecture 2: The kinematics of General Relativity will be derived by applying the gauging technique to the Poincare algebra
- Lecture 3: The gauging technique will be applied to construct the kinematics of Newton-Cartan Gravity
- Lecture 4: Different non-relativistic limits are discussed that relate relativistic gravity or matter theories to non-relativistic ones.
- Lecture 5: An introduction to non-relativistic supersymmetry will be given with an emphasis on supersymmetry in a curved background in view of applications of the so-called Supersymmetric Localization technique.
- Lecture 6: The Newton-Cartan formalism will be applied to the concrete example of the The Quantum Hall Effect

**Aims for the course:**

- Understanding the Newton-Cartan Formalism
- understanding relating relativistic gravity and matter theories to non-relativistic ones by taking limits
- being able to work with non-relativistic supersymmetry
- being able to apply the Newton-Cartan formalism to a concrete example: the Quantum Hall Effect

Coming soon.

- There is currently no participant information available for this event.

- Type:
- SRF Course
- When:
- Jan. 10, 2018 — Jan. 29, 2018