June 27, 2015 to July 3, 2015
Rogla, Slovenia
UTC timezone

Summer School Minicourses

Minicourse 1: Laplacians, Jacobians, and Harmonic Automorphisms of Graphs
Lecturer: Alexander Mednykh, Sobolev Institute, University of Novosibirsk, Novosibirsk, Russia

This course will cover the following topics: The Laplacian matrix of a graphs and its eigenvalues, Spanning trees, Coverings of graphs and uniformization theory, Branched coverings of graphs, Jacobians of graphs, Harmonic automorphisms of graphs.

Lecture notes:



Minicourse 2: Algorithms for matrix groups

Lecturer: Eamonn O'Brien, University of Auckland, Auckland, New Zealand

This course will focus on theoretical and practical algorithms for the study of groups generated by matrices. Topics covered will include:  Basic computations with matrix group,  Strategies for the study of matrix groups defined over finite fields, Working with simple groups. The Soluble Radical model,  Basic tasks for finitely-generated matrix groups over fields of characteristic 0.

Lecture notes:


According to regulations and in view of the amount of work designed for this courses, the Summer School is credited with 2 ECTS. In order to collect the assigned credit points, the student must solve a certain number of problems and tasks as required by the lecturer.