Welcome to the Graduate Student Seminar
Biweekly Graduate Student Presentations
Upcoming Seminars
Date: 2/10/2023
Speaker: Rachmiel “Rocky” Klein, Brandeis University
Title: “Geometric Group Theory: Visualizing groups and Curvature”
Abstract: Geometric group theory (GGT) is a field of math that has proven very useful in the past few decades. In addition to relating to ample other areas of pure mathematics it also relates to other subjects such as chemistry, art, and logic. But how is one to think about groups geometrically? In this talk I will lay out the foundations of GGT in three parts. In part one, which will take up a good portion of the lecture, I will explain how groups can be thought of geometrically by discussing large scale and coarse geometry. Part two will be about hyperbolic groups, and part three will consist of many examples for how negatively curved (hyperbolic) groups can help to solve many problems in abstract group theory. The goal of the lecture is to give the basics of the subject as opposed to proving a specific theorem. I will be happy to take questions along the way.
Info on the speaker: I am a second year PhD student at Brandeis working with Dr. Carolyn Abbott in GGT, and was generously invited to give an introduction to my field by Tanishq at Northeastern who is a friend from undergrad.