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 Fp((t))


Thursday, July 1, 2010, room 535

11:00

Asim Naseem

gave a talk on the

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


The Valuation Theory Home Page


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