Cohomology of Finite Groups: Interactions and Applications

Abstract

This workshop on cohomology of finite groups has traditionally a special emphasis on interactions with neighboring fields, such as group theory, algebraic topology, commutative algebra, and representation theory. This subject has been the topic of five workshops held at Oberwolfach in the last twenty-five years. The workshop aims to highlight recent progress and explore new connections, fostering the continued development of the interactions that have been so productive in recent years. Special emphasis was given to topics which have recently seen important breakthroughs, such as higher representation theory, homotopy theory of permutation modules, and the solution of a conjecture of Quillen.