The trial, which lasted six months, was closely watched in Germany where concern has been growing over an increasingly militant far-right scene.
The coalition government agreed to transfer spy chief Hans-Georg Maassen following accusations that he harboured far-right views but the deal unravelled. German Interior Minister Horst Seehofer also refused demands to dismiss Maassen.
The murder of a German-Cuban man played into the hands of the far-right. But what exactly took place in the east German city and what consequences might this have?
The concert comes after former foreign minister Sigmar Gabriel called on the political establishment to make a stronger showing in places with simmering discontent and anti-migrant sentiment.
Saturday's rallies come days after far-right clashes of demonstrators with police after a man was fatally stabbed in the eastern German city of Chemnitz.
Amateur video shows skinheads chasing a young man as far-right groups protest over death of man.
The manhunt went on for two days after authorities found homemade explosives at his apartment in the eastern city of Chemnitz.
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