Dr. *Nicolás Lorente*, Centro de Física de Materiales, CSIC-EHU, and DIPC (Donostia-San Sebastián).

Topology is becoming a common place in today's physics research. It is however foreign and difficult to grasp to many of us. I will give an introductory presentation to this topic in 4 lectures of one hour and a half.

The lectures will take place on Tuesdays in February 2018 from 11:30 to 13:00 in the main seminar room of DIPC (building 1). As in previous dipc courses, no registration is required.

Material for the course can be found at the moodle of the course. The course is largely based on the book by Asbóth, Oroszlány and Pályi arXiv:1509.02295 , the manuscript by Fruchart and Carpentier arXiv:1310.0255 and the online course https://topocondmat.org/

The syllabus for the course is:

6th February 2018 at 11:30. The adiabatic theorem and the Berry phase. Continuous deformation and topological invariants.

13th February 2018 at 11:30. The SSH model. Edge states and the bulk-boundary correspondance.

20th February 2018 at 11:30. Topological insulators.

27th February 2018 at 11:30. Topological superconductors. The "periodic table" of topological insulators and superconductors.

The courses are intended to be detailed but with minimum mathematical requirements (all needed concepts will be introduced). The main objective of the course is to give a handle on terminology and concepts that are regularly used.