**
Workshop on Valuation Theory in Positive Characteristic
**
Organized by
Franz-Viktor Kuhlmann and
Katarzyna Osiak

Institute of Mathematics,

University of Silesia, Katowice, Poland

Friday, June 25, to Saturday, July 3, 2010

The aim of this workshop is to introduce young researchers to the open
problems in valuation theory in positive characteristic, in particular
those that are connected with local uniformization and the model theory
of valued fields. Subjects to be studied include: the defect, structure
theory of valued function fields, elimination of ramification, recent
results of Michael Temkin on local uniformization by inseparable
alteration.

List of participants:

William Anscombe, Oxford

Anna Blaszczok, Katowice

Arno Fehm, Tel Aviv/Jerusalem (June 25 and 26)

Franziska Jahnke, Oxford

Hagen Knaf, Kaiserslautern

Franz-Viktor Kuhlmann, Saskatoon

Asim Naseem, Lahore

Josnei Antonio Novacoski, Sao Paulo

Katarzyna Osiak, Katowice

Andrzej Sladek, Katowice

Marek Szyjewski, Katowice

Michael Temkin, Princeton/Jerusalem (June 25 and 26)

Friday, June 25, 2010, room 535
10:30

**
Franz-Viktor Kuhlmann**

gave a survey on

*Problems in valuation theory in positive characteristic*

14:30

**
Michael Temkin**

gave an introduction to

*Inseparable local uniformization*

Saturday, June 26, 2010, room 535
10:45

**
Arno Fehm**

gave a talk on

*Hilbertian Fields*

11:45

**
Franziska Jahnke**

gave a talk on

*Elementary characterization of fields by their absolute
Galois group*

14:30

**
Will Anscombe**

gave a talk on

*Existentially definable subsets of t-Henselian fields*

16:00

**
Arno Fehm**

gave a survey on

*Ample fields*

17:00

**
Franz-Viktor Kuhlmann**

gave a talk on

*Extremal fields*

Monday, June 28, 2010, room 535
11:00

**
Franz-Viktor Kuhlmann**

gave a survey on

*Problems in valuation theory in positive characteristic, I
*

14:30

**
Franz-Viktor Kuhlmann**

gave a survey on

*Problems in valuation theory in positive characteristic, II
*

Tuesday, June 29, 2010, room 535
11:00

**
Hagen Knaf**

gave a survey on the technical background for

*Local uniformization, I*

14:30

**
Hagen Knaf**

gave a survey on the technical background for

*Local uniformization, II*

Wednesday, June 30, 2010, room 535
10:45

**
Will Anscombe**

gave a talk on

*t-Henselianity, the Implicit Function Theorem and
existentially definable subsets*

12:00

**
Franziska Jahnke**

gave a talk on

*Non-PAC fields having a purely inseparable extension
which is PAC*

14:30

**
Hagen Knaf**

gave a talk on

*Local uniformization for Abhyankar valuations*

14:30

**
Franz-Viktor Kuhlmann**

gave a talk on

*The model theory of F*_{p}((t))

Thursday, July 1, 2010, room 535
11:00

**
Asim Naseem**

gave a talk on the

*Galois theory of the extension K((x))|K*

*Last update: July 1, 2010
--------- created and maintained by Franz-Viktor Kuhlmann*