In these days, the angel of topology and the devil of abstract algebra fight for the soul of every individual discipline of mathematics.
— H. Weyl, Invariants; Duke Math. J., 5 (1939), 489–502.
In these days, the angel of topology and the devil of abstract algebra fight for the soul of every individual discipline of mathematics.
— H. Weyl, Invariants; Duke Math. J., 5 (1939), 489–502.
Organizers: Spencer Dowdall, Dan Margalit, Denis Osin
Time: Wednesdays, 4:10–5:00pm
Location: SC 1432
Mailing List: If you would like to be added to the seminar mailing list and receive regular announcements, please contact one of the organizers.
Fall 2026
Wednesday, September 2
TBA
Wednesday, September 9
TBA
Wednesday, September 16
Noah Caplinger (University of Chicago)
Title: Groups acting on horocyclic products
Abstract: Horocyclic products are a well-studied class of metric spaces that provide models for various solvable groups. Key examples include the universal cover of mapping tori of expanding maps or Anosov maps on nilmanifolds. Horocyclic products have played a key role in many quasi-isometric rigidity results in the past few decades. In this talk, I will give lots of examples of groups acting on horocyclic products and explain a theorem of mine and Daniel Levitin's, which says that essentially all examples of finitely presented groups acting on horocyclic products come from expanding or Anosov maps.
Host: Denis Osin
Wednesday, September 23
TBA
Wednesday, September 30
TBA
Wednesday, October 7
TBA
Wednesday, October 14
TBA
Wednesday, October 28
TBA
Wednesday, November 4
TBA
Wednesday, November 11
TBA
Wednesday, November 18
TBA
Wednesday, December 2
TBA
Spring 2027
Wednesday, January 20
TBA
Wednesday, January 27
TBA
Wednesday, February 3
TBA
Wednesday, February 10
TBA
Wednesday, February 17
TBA
Wednesday, February 24
TBA
Wednesday, March 3
TBA
Wednesday, March 10
TBA
Wednesday, March 24
TBA
Wednesday, March 31
TBA
Wednesday, April 7
TBA
Wednesday, April 14
TBA
Wednesday, April 21
TBA