October 4, 2024
Title: Groups and geometry (Springer Visiting Chair Colloquium talk, at 16:00 in KBG Atlas)
Speaker: Gavril Farkas (HU Berlin)
To a finitely generated group one associates a number of fundamental numerical invariants, like its Alexander or lower central series invariants. For groups of geometric nature (like fundamental groups associated to hyperplane arrangements or various parameter spaces) these groups encode subtle information of geometric and combinatorial nature. I will discuss how ideas of algebro-geometric nature led to fundamental regularity results on Alexander invariants of groups. I will provide a general introduction to this circle of ideas and present numerous examples.