ICTP Mathematics Seminar - Wednesday 9 April 2014, at 14:00

[math]

M A T H E M A T I C S   S E M I N A R S   2014

Wednesday, 9 April, at 14:00 hrs.

Dustin Tate Clausen
(University of Copenhagen)

"A homotopy-theoretic approach to some theorems in arithmetic"

Abstract:
The theorems in the title refer to some generalizations and consequences 
of the quadratic reciprocity law.  These all play on how the various 
finite rings Z/nZ, which are simple to understand by themselves, are 
tied together by the more complicated ring Z.  I will give an 
introduction to these types of theorems, and then indicate how a certain 
homotopy-theoretic construction relating tori and spheres can be used to 
provide proofs of some of them, starting with the quadratic reciprocity 
law itself.

Venue: Luigi Stasi Seminar Room, first floor , ICTP Leonardo Building