Budapest, July 2--13, 2001
SCIENTIFIC PROGRAM
The workshop will start on
July 2 (Monday) at 9 a.m.
and will conclude in the afternoon of July 13 (Friday). We expect that participants will arrive on July 1. The lectures will take place in the main lecture hall of the
Alfréd Rényi Mathematical Research Institute of the
Hungarian Academy of Sciences Address: Reáltanoda utca 13--15 Phone: 4838300 |
Here is a schedule of the program for the first week, which indicates the speakers and the topics they will discuss in their lectures:
MONDAY
9:00-- 9:10 Welcoming remarks
9:10--11:00 Keith Kearnes: local methods (part 1)
11:00--12:00 Problem session
12:00-- 2:00 Lunch break
2:00-- 4:00 Ágnes Szendrei: local methods (part
2)
4:00-- 5:00 Problem session
TUESDAY
9:00--11:00 Péter Pál Pálfy: minimal
algebras and the five types
11:00--12:00 Problem session
12:00-- 2:00 Lunch break
2:00-- 4:00 Pawel Idziak: the structure of <\alpha,\beta>-minimal
algebras
4:00-- 5:00 Problem session
WEDNESDAY
9:00--11:00 Ross Willard: term conditions
11:00--12:00 Problem session
12:00-- 2:00 Lunch break
2:00-- 4:00 Emil W. Kiss: the global influence of minimal
algebras
4:00-- 5:00 Problem session
THURSDAY
9:00--11:00 Ralph McKenzie: connections between the shape of
the congruence lattice and TCT properties
11:00--12:00 Problem session
12:00-- 2:00 Lunch break
2:00-- 4:00 Joel Berman: solvability
4:00-- 5:00 Problem session
FRIDAY
9:00--11:00 Ralph McKenzie: omitting types, Mal'tsev conditions
11:00--12:00 Problem session
12:00-- 2:00 Lunch break
2:00-- 4:00 Computer session: a demonstration of how computer
experimentation has led to new results in
tame congruence theory.
The following speakers have been asked to give talks during the second week: Joel Berman, Dejan Delic, Pawel Idziak, Keith Kearnes, Emil W. Kiss, Ralph McKenzie, Péter Pál Pálfy, Ágnes Szendrei, Matt Valeriote, Ross Willard, László Zádori. A schedule of lectures for the second week will be distributed during the workshop. During the first week there will be a course in tame congruence theory, and during the second week there will be lectures and discussion about areas of current research.
Our aim is to have the activities accessible to newcomers, yet interesting for all. It will be assumed that the participants are familiar with the basics of universal algebra (see, e.g. the material in the book by Burris--Sankappanavar, which can be downloaded from the page A Course in Universal Algebra).
ADDED LATER: SOME LECTURE NOTES
Lecture 1 + Exercises + Solutions
Lecture 2 + Exercises + Solutions
Lecture 6 + Exercises + Solutions
The status of the problems from the TCT book
ADDED LATER: PROGRAM FOR THE SECOND WEEK
MONDAY
9:00--10:00 Keith Kearnes: Examples
10:00--11:00 Péter Pál Pálfy: Congruence identities
in groups
11:00--12:00 László Zádori: Complexity problems
and finite algebras
12:00-- 2:00 Lunch break
2:00-- 3:00 Ágnes Szendrei: Classification problems
TUESDAY
9:00--10:00 Ross Willard: Interpretations and decidability
10:00--12:00 Matthew Valeriote: Decidability of finitely generated
varieties
12:00-- 2:00 Lunch break
2:00-- 4:00 Dejan Delic: Finite decidability of finitely
generated varieties
WEDNESDAY
9:00--11:00 Emil W. Kiss: Nilpotent and abelian algebras
11:00--12:00 Ágnes Szendrei: Minimal varieties
12:00-- 2:00 Lunch break
2:00-- 3:00 Keith Kearnes: Congruence identities -- an
application of subtraces
THURSDAY
9:00--10:00 Joel Berman: Free spectra
10:00--12:00 Pawel Idziak: G-spectra (part 1)
12:00-- 2:00 Lunch break
2:00-- 5:00 Ralph McKenzie: G-spectra (part 2)
FRIDAY
9:00--10:00 Matthew Valeriote: Residually small varieties (part
1)
10:00--11:00 Emil W. Kiss: Residually small varieties (part 2}
11:00--12:00 Keith Kearnes: Residually small varieties (part 3)