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International conference
“Number-theoretic aspects of linear algebraic groups and algebraic varieties: results and prospects”
dedicated to 85-th anniversary of academician V.P. Platonov

(June 16–19, 2025, Steklov Mathematical Institute, Moscow)

The conference is a celebration of the 85th birthday of the distinguished mathematician and Member of the Russian Academy of Sciences Professor Vladimir Pertovich Platonov. During the course of his research career, which has spanned over 60 years, V.P. Platonov has made fundamental contributions to such areas of mathematics as topological and linear groups, the study of structural, geometric, and arithmetic properties of algebraic groups, local-global principles in algebra and number theory, analysis of torsion points on abelian varieties, and others. The scientific program of the conference features talks by leading experts on a broad range of topics related to the research interests of V.P. Platonov. The conference is hosted by the Steklov Mathematical Institute of RAS, where V.P. Platonov continues to work as Principal Research Fellow in the Department of Geometry and Topology.


Connection
All offline talks will be streamed through "Kontur Talk": https://mian.ktalk.ru/ygdow6axq8sv?pinCode=4197.
All online talks will be streamed through "Zoom", for a link, please, address the organizers.


Speakers
   Victor Buchstaber, Steklov Mathematical Institute of RAS
   Vladimir Chernousov, University of Alberta, Canada
   Gleb Fedorov, University of Science and Technology "Sirius"
   Philippe Gille, Université Claude Bernard Lyon 1, France
   Alex Lubotzky, Hebrew University of Jerusalem, Einstein Institute of Mathematics, Israel
   Dmitri Orlov, Steklov Mathematical Institute of RAS
   Denis Osipov, Steklov Mathematical Institute of RAS
   Ivan Panin, St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
   Bjorn Poonen, MIT Department of Mathematics, USA
   Vladimir Popov, Steklov Mathematical Institute of RAS
   Gopal Prasad, University of Michigan, USA
   Yuri Prokhorov, Steklov Mathematical Institute of RAS
   Andrei Rapinchuk, University of Virginia, USA
   Peter Sarnak, Princeton University, USA
   Maxim Vsemirnov, St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
   Umberto Zannier, Scuola Normale Superiore, Pisa, Italy
   Vladimir Zhgoon, MIPT, NRU HSE

Photogallery

Program

Рoster

Abstracts

Organizers
Orlov Dmitri Olegovich (Chairman)
Gorchinskiy Sergey Olegovich
Rapinchuk Andrei Stepanovich

Financial support
The conference is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, agreement no. 075-15-2025-303).


Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center


International conference “Number-theoretic aspects of linear algebraic groups and algebraic varieties: results and prospects” dedicated to 85-th anniversary of academician V.P. Platonov, Moscow, June 16–19, 2025

June 16, 2025 (Mon)
1. Opening
June 16, 2025 11:15–11:30, Moscow, Steklov Mathematical Institute
  
2. $SK_1$ and Grothendieck–Serre conjecture
I. A. Panin
June 16, 2025 11:30–12:30, Moscow, Steklov Mathematical Institute
I. A. Panin
  
3. $n$-valued groups and Fermat's Last Theorem
V. M. Buchstaber
June 16, 2025 12:50–13:50, Moscow, Steklov Mathematical Institute
V. M. Buchstaber
  
4. Multiples of a subvariety in an algebraic group
B. Poonen
June 16, 2025 16:00–17:00, Moscow, online
B. Poonen
  
5. Restricted Chebotarev Theorems for $\mathrm{SL}(2 , \mathbb{Z})$ and related groups
P. C. Sarnak
June 16, 2025 17:10–18:10, Moscow, online
P. C. Sarnak
  
6. Applications of the finiteness conjecture on groups with good reduction
V. I. Chernousov
June 16, 2025 18:20–19:20, Moscow, online
V. I. Chernousov
  

June 17, 2025 (Tue)
7. Groups $(2,3,7;n)$, their quotients and related number-theoretic questions
M. A. Vsemirnov
June 17, 2025 11:30–12:30, Moscow, Steklov Mathematical Institute
M. A. Vsemirnov
  
8. Conic bundle structures on singular Fano $3$-folds
Yu. G. Prokhorov
June 17, 2025 12:50–13:50, Moscow, Steklov Mathematical Institute
Yu. G. Prokhorov
  
9. On the unboundedness of period lengths of functional continued fractions in a hyperelliptic field
G. V. Fedorov
June 17, 2025 16:00–17:00, Moscow, Steklov Mathematical Institute
G. V. Fedorov
  

June 18, 2025 (Wed)
10. Coordinate algebras of algebraic groups: generators and relations
V. L. Popov
June 18, 2025 11:30–12:30, Moscow, Steklov Mathematical Institute
V. L. Popov
  
11. The finiteness theorems for generalized Jacobians with nontrivial torsion
V. S. Zhgoon
June 18, 2025 12:50–13:50, Moscow, Steklov Mathematical Institute
V. S. Zhgoon
  
12. Bounded generation in linear groups and exponential parameterizations
U. Zannier
June 18, 2025 16:00–17:00, Moscow, online
U. Zannier
  
13. Uniform stability of lattices in high-rank
A. Lubotzky
June 18, 2025 17:10–18:10, Moscow, Steklov Mathematical Institute
A. Lubotzky
  

June 19, 2025 (Thu)
14. Local regluings of families of curves and sheaves on them and the Deligne–Riemann–Roch theorem
D. V. Osipov
June 19, 2025 11:30–12:30, Moscow, Steklov Mathematical Institute
D. V. Osipov
  
15. Geometric realizations of algebraic objects and derived non-commutative algebraic geometry
D. O. Orlov
June 19, 2025 12:50–13:50, Moscow, Steklov Mathematical Institute
D. O. Orlov
  
16. Semiglobal fields and Hasse principle
P. Gille
June 19, 2025 16:00–17:00, Moscow, online
P. Gille
  
17. On almost strong approximation in reductive algebraic groups
A. S. Rapinchuk
June 19, 2025 17:10–18:10, Moscow, online
A. S. Rapinchuk
  
18. Congratulatory message
G. Prasad
June 19, 2025 18:20, Moscow, online
G. Prasad
  
 
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