1st September - 14th September, 2023
Batumi & Kutaisi, Georgia
International Workshop
In the frame of the grant FR-21.4713 of Shota Rustaveli National Science Foundation of Georgia
“Algebraic Geometry and Model Theory
of Groups and Algebras”
Program
Part 1
Exponential Groups
Dates: 01/09/2023–03/09/2023
Place: Akaki Tsereteli State University, Kutaisi, Georgia
Program:
September 1st
- 9 am–9.55 am Alexei Miasnikov “Open problems and recent tendencies in the theory of exponential groups”
- 10 am–10.50 am Tengiz Bokelavadze “On bi-interpretability of nilpotent k-groups and nilpotent k-algebras Lie”
- 11 am–11.50 am Evelina Daniyarova “Extensions of centralizers in nilpotent groups”
- 12 am–14 am Discussion
September 2nd
- 9 am–9.55 am Mikheil Amaglobeli “Tenzor completions in varieties of exponential groups”
- 10 am–10.50 am Evelina Daniyarova “Limit exponential groups”
- 11 am–11.50 am Alexander Treyer “On a maximal rank of a free two step nilpotent group embeddable into UT_n(Z)”
- 12 am–14 am Discussion
September 3rd
9 am–14 am Discussion on perspectives of the theory of exponential groups
Excursion to Okatse Canyon Natural Monument
Organizing committee:
- M. Amaglobeli
- T. Bokelavadze
- O. Kharlampovich
Part 2
Model Theory of Groups and Algebras
Dates: 04/09/2023–08/09/2023
Place: Shota Rustaveli State University, Batumi, Georgia
Program:
September 4th
- 9 am–9.55 am Evelina Daniyarova “Bi-interpretations”
- 10 am–10.50 am Alexei Miasnikov “Theory of interpretations”
- 11 am–13 am Discussion
September 5th
- 9 am–9.55 am Alexander Treyer “Bi-interpretability of ZwrZ with Z”
- 10 am–10.50 am Elena Bunina “Abstract isomorphisms and bi-interpretability of Chevalley groups”
- 11 am–13 am Discussion
September 6th
- 9 am–9.55 am Alexander Treyer “Definable subgroups of free nilpotent groups”
- 10 am–10.50 am Andrey Nikolaev “Non-standard polynomials”
- 11 am–13 am Discussion
September 7th
- 9 am–9.55 am Olga Kharlampovich “Non-standard free metabelian groups”
- 10 am–10.50 am Andrey Nikolaev “Non-standard free groups”
- 11 am–13 am Discussion
September 8th
- 9 am–9.55 am Eugene Plotkin ”Isotypic groups and rings”
- 10 am–10.50 Elena Bunina TBA
- 11 am–13 am General discussion
Excursion to the Batumi Botanical Garden
Organizing committee:
- M. Amaglobeli
- T. Bokelavadze
- O. Kharlampovich
- A. Miasnikov
- E. Plotkin
Part 3
Algebraic and Logical Geometries over Nilpotent Groups and Algebras
Dates: 10/09/2023–14/09/2023
Place: Batumi, Georgia
Program:
September 10th
- 9 am–9.55 am Alexander Treyer “One variable equations over free nilpotent groups”
- 10 am–10.50 am Alexei Mishchenko “Equations in partially commutative 2-nilpotent groups”
- 11 am–11.50 am Ivan Buchinskiy “Equations over Heisenberg groups”
September 11th
- 9 am–9.55 am Eugene Plotkin “Logical geometries by Boris Plotkin”
- 10 am–10.50 am Evelina Daniyarova “Logical geometries and interpretations”
September 12th
- 9 am–9.55 am Alexei Miasnikov “Coordinate groups of irreducible algebraic sets over free nilpotent groups”
- 10 am–10.50 am Anthony Gaglione and Dennis Spellman “Axioms of the universal theory of Heisenberg group”
September 13th
- 9 am–9.55 am Evelina Daniyarova “Remeslennikov’s approach to universal classes of 2―nilpotent R-groups”
- 10 am–10.50 am Alexei Miasnikov “K-theory for completions of nilpotent groups”
- 11 am–11.50 am Mikheil Amaglobeli “Exponential nilpotent groups”
September 14th
General discussion
Organizing committee:
- M. Amaglobeli
- T. Bokelavadze
- O. Kharlampovich
- E. Plotkin
Participants
Alexei Miasnikov, Stevens Institute of Technology, Hoboken, USA
Tengiz Bokelavadze, Akaki Tsereteli State University, Kutaisi, Georgia
Evelina Daniyarova, Sobolev Institute of Mathematics, Omsk, Russia
Mikheil Amaglobeli, Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia
Alexander Treyer, Sobolev Institute of Mathematics, Omsk, Russia
Eugene Plotkin, Bar Ilan University, Tel Aviv, Israel
Elena Bunina, Bar Ilan University, Tel Aviv, Israel
Andrey Nikolaev, Stevens Institute of Technology, Hoboken, USA
Olga Kharlampovich, City University of New York, New York, USA
Alexei Mishchenko, Sobolev Institute of Mathematics, Omsk, Russia
Ivan Buchinskiy, Sobolev Institute of Mathematics, Omsk, Russia
Anthony Gaglione, United States Naval Academy, Annapolis, USA
Dennis Spellman, Temple University, Philadelphia, USA