Aalto Algebra and combinatorics seminar on Wednesday

[Hollanti Camilla]

Dear Colleagues,

Welcome to the seminar on Wed at 15.15. The talk will be given by our new postdoc Dave Karpuk. Title and abstract below. Pizza and beer afterwards.

Br,

Camilla
________________________________________

Title: Cohomology of the Weil Group of a p-adic Field

Abstract: Recent work by Lichtenbaum and others has shown that values of the zeta function of a variety over a finite field can be realized as Euler characteristics in Weil-etale cohomology. Much recent work has been done towards a definition of Weil-etale cohomology for number fields, which would explain the class number formula as a multiplicative Euler characteristic, but a fully satisfactory definition is still lacking. We present relevant results concerning the Weil group of a p-adic field, and in the process, recover some classical theorems from Galois cohomology.

The level of the lecture will be suitable to an audience with no prior knowledge on the topic.

[Hollanti Camilla]

Dear Colleagues,

Welcome to the seminar on Wed at 15.15. The talk will be given by Piotr Maciak from EPFL. Title and abstract below. Pizza and beer afterwards.

Br,

Camilla
________________________________________

Piotr Maciak (EPFL)

Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

* Wednesday 12 September 2012, 15:15, room U510

Abstract: The aim of the talk is to give upper bounds for the Euclidean minima of abelian fields of odd prime power conductor. In particular, these bounds imply Minkowski´s conjecture for totally real number fields of conductor $p^r$, where $p$ is an odd prime number and $r \ge 2$.

The first part of the talk will be introductory.