This is the 19th meeting of the Geometrical Seminar which started its activities during the eighties in the last century, under the name Yugoslav Geometrical Seminar. The 18th Geometrical Seminar, which took place at Vrnjačka Banja 2014, had more than 100 participants from about 30 countries. The aim of these meetings is to bring together mathematicians and physicists interested in geometry and its applications, to give lectures on new results, exchange ideas, problems and conjectures.