\;

I wil l give a brief introduction to preprojective algeb ras and higher preprojective algebras\, using exa mples. Then I will explain some results about ce rtain higher preprojective algebras that were obta ined in joint work with Osamu Iyama\, including r esults on periodicity and descriptions of these a lgebras as (higher) Jacobi algebras of quivers wi th potential. Finally I will explain how\, in sim ple cases\, one can define higher zigzag algebras \, generalizing certain algebras studied by Huefr ano and Khovanov which appear widely in geometry a nd representation theory. As in the classical ca se\, one finds interesting relations between sphe rical twists on the derived categories of these al gebras. LOCATION:Seminar Room 1\, Newton Institute CONTACT:INI IT END:VEVENT END:VCALENDAR