Topology Seminar: Ben Williams
Topic
The A1 calculation of the 4th homotopy group of the 6,3-sphere and a conjecture of Suslin
Speakers
Details
The algebraic K-theory, due to Quillen, of a field is related to a theory defined by Milnor called Milnor K-theory and denoted K^M. In the 1980s, Andrei Suslin constructed a map K_n(F) -> K^M_n(F), and conjectured that the image was the subgroup (n-1)! K^M_n(F). He also proved the conjecture for n=3. For n=5, we reinterpret the construction as a construction in the A1 homotopy groups of spheres and BGL, and by calculating these groups, show that the conjecture is true in this case as well. This represents part of a joint project with Aravind Asok, Jean Fasel and Kirsten Wickelgren.
Additional Information
ESB 4133 (PIMS Lounge)
Wed 22 Nov 2017, 3:15pm-4:15pm
Ben Williams, UBC
Ben Williams, UBC
This is a Past Event
Event Type
Scientific, Seminar
Date
November 22, 2017
Time
-
Location