Algebraic K-theory and arithmetic
Student No.:50
Time:16:30-17:30, 2017-1-13 (Fri.)
Instructor:Rob de Jeu  [Vrije Universiteit]
Place:Lecture hall, Floor 3, Jin Chun Yuan West Building
Starting Date:2017-1-13
Ending Date:2017-1-13



The Riemann zeta-function, which encodes information about the integers and the prime numbers, has been studied extensively.  Its values at 2,4,... are well-known, but much less is known about its values at 3,5,... .  This difference can be explained to an extent by the different behaviour of certain groups (algebraic K-groups) of the rationals.

In this talk, we discuss some basic examples of such K-groups, and some links between them and arithmetic.