Makanin-Razborov Workshop
Alangna Valsesia, Italy

14th - 20th December 2008

[ Participants | Schedule | Registration fee | Pictures | Sponsors | Contacts ]

The workshop focuses on the Makanin-Razborov process for equations over free groups and more generally the solving of equations over arbitrary algebraic systems. The intention is to bring together a small group of people, including experts and students, interested in thoroughly understanding the Makanin-Razborov process and it's extensions to other algebraic systems.

The meeting will take place in the village of Alagna Valsesia, Northern Italy, from 14th-20th December 2008.


Oleg Bogopolski
Montse Casals-Ruiz
Laura Ciobanu
Evelina Daniyarova
Volker Diekert
Andrew Duncan
Liza Frenkel
Ilya Kazachkov
Olga Kharlampovich
Francesco Matucci
Alexei Miasnikov
Alex Myasnikov
Cornelius Reinfeldt
Vladimir Remeslennikov
Artem Shevlyakov
Sasha Ushakov
Alina Vdovina
Enric Ventura
Richard Weidmann


Lectures take place in the Unione Alagnese, in the centre of Alagna.

Sunday 14th December
5:00-6:00pm O. Bogopolski On the fundamental and the first homology groups of the Hawaiian Earring and of Griffiths' space (preprint from MPIM, 2008)
6:00-7:00 pm A.Vodovina Cayley Graph Expanders and Groups of Finite Width (2008)
Monday 15th December
9:00-10:00 am A. Duncan From pregroups to groups
10:00-12:00 am A.G. Miasnikov Elimination Theory I: Unification Theorems and Limits of groups
3:00-4:00 pm V.N. Remeslennikov Algebraic geometry over algebraic structures:I
4:00-5:30 pm V. Diekert Plandowski's Method: I
6:00-7:30 pm A.G. Miasnikov Elimination Theory II: Elimination processes
Tuesday 16th December
9:00-10:30 am A.G. Miasnikov Elimination Theory III:
11:00-12:30 am O. Kharlampovich MR diagrams
3:00-4:00 pm M. Casals-Ruiz Elementary Transformations in Makanin-Razborov diagrams
4:30-6:00 pm O. Kharlampovich Bounding exponent of periodicity
Wednesday 17th December
9:00-10:30 am V. Diekert Plandowski's Method: II
11:00-12:00 am E. Ventura Deciding endo-fixedness
3:00-4:00 pm L. Frenkel Generic and measurable subsets in free groups
4:30-5:30 pm E. Daniyarova Alegebraic Geometry of Algebraic Structures: II
5:30-6:30 pm I. Kazachkov The Makanin-Razborov process for partially commutative groups
Thursday 18th December
9:00-13:00 am O. Kharlampovich Equations with parameters
11:00-12:00 am C. Reinfeldt Makanin-Razborov diagrams for hyperbolic groups:I
3:00-4:00 pm E. Daniyarova Alegebraic Geometry of Algebraic Structures: III
4:30-5:30 pm S. Ushakov
5:30-6:30 pm V.N. Remeslennikov Alegebraic Geometry of Algebraic Structures: IV
6:30-7:30 pm R. Weidmann Makanin-Razborov diagrams for hyperbolic groups:II
Friday 19th December
5:00-6:00 pm F. Matucci Structure Theorems for Subgroups of Homeo(S1)
6:30-7:30 pm A. Shevlyakov Algebraic Geometry over the Additive Monoid of Natural Numbers


There is a registration fee of €55 for non-postgraduate participants.


Various photographs taken by participants

More photographs taken by some more participants

Photos by Alex


The workshop was parially funded by EPSRC grant ... and ....

Accommodation and events in Alagna were arranged by Lyskamm Viaggi, Alagna.


To contact the organisers:

Last updated 13 Jan 09 at 18:02