LFunctions and Algebraic Varieties. A conference in memory of Alexey Zykin (February 5–9, 2018, Moscow Independent University, 11 Bolshoi Vlassievsky per., Moscow)
Zeta and Lfunctions are the basic example of a family of functions arising in many mathematical fields: number theory, algebraic geometry, group theory, graph theory, dynamical systems, partial differential equations...
The study of zeta and Lfunctions is transversal to the traditional subdivision into mathematical disciplines: algebra, analysis, topology, geometry, combinatorics are all needed to resolve the arising problems. The most famous mathematical enigma, the Riemann hypothesis, generalized to many zeta functions, is the key to numerous mathematical questions.
The focus of the conference will be on the most recent advances in the study of algebraic varieties and Lfunctions with a focus on those arising from algebraic geometry. We hope to help the specialists in remote fields, in particular geometers and analytic number theorists to exchange their knowledge and experience.
Organizing Committee
Gorchinskiy Sergey Olegovich Hindry Marc Lebacque Philippe Nechaev Sergei Konstantinovich Rybakov Sergey Yur'evich Tsfasman Michael Anatol'evich
Institutions
Independent University of Moscow Interdisciplinary Scientific Center J.V. Poncelet Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow Laboratory of algebraic geometry and its applications, National Research University "Higher School of Economics" (HSE), Moscow Department of Mathematics, National Research University "Higher School of Economics", Moscow 

LFunctions and Algebraic Varieties. A conference in memory of Alexey Zykin, Moscow, February 5–9, 2018 


February 5, 2018 (Mon) 

1. 
Upper bounds on L(1, $\chi$) taking into account a finite set of prime ideals February 5, 2018 11:00–12:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





2. 
Measures Corresponding to Curves and Abelian Varietes M. A. Tsfasman February 5, 2018 12:30–13:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





3. 
Integral points on a family of elliptic curves M. Hindry February 5, 2018 15:00–16:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





4. 
Density of rational points on elliptic surfaces February 5, 2018 16:30–17:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.






February 6, 2018 (Tue) 

5. 
Isogeny Graphs and Endomorphism Rings of Ordinary Abelian Varietes February 6, 2018 10:00–11:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





6. 
Isogeny Graphs of Ordinary Abelian Surfaces and Endomorphism Rings February 6, 2018 11:00–12:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





7. 
Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields February 6, 2018 12:30–13:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





8. 
Lenticulary of the poles of the dynamical zeta function of the betashift in Lehmer's problem and limit Mahler measures February 6, 2018 15:00–16:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





9. 
Equation with singular moduli: effective aspects Yu. Bilu February 6, 2018 16:30–17:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.






February 7, 2018 (Wed) 

10. 
Products of Lfunction February 7, 2018 10:00–11:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





11. 
Chebyshev's bias and the Chebotarev density theorem February 7, 2018 11:00–12:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





12. 
Lowlying zeros of quadratic Dirichlet Lfunction: the transition February 7, 2018 12:30–13:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.






February 8, 2018 (Thu) 

13. 
Adelic quotient groups on arithmetic surfaces D. V. Osipov February 8, 2018 11:00–12:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





14. 
Harmonic analysis on discrete groups and analytic properties of zetafunctions of algebraic varieties A. N. Parshin February 8, 2018 12:30–13:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





15. 
A BrauerSiegel theorem for an ArtinSchreier family of elliptic curves February 8, 2018 14:30–15:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





16. 
T. B. A February 8, 2018 16:00–17:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





17. 
Regulators of elliptic curves February 8, 2018 17:00–18:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.






February 9, 2018 (Fri) 

18. 
On the lower Kgroups of an elliptic curve over a global field of positive characteristic February 9, 2018 11:00–12:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





19. 
On Mfunction associated with modular forms February 9, 2018 12:30–13:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





20. 
Manin's conjecture for a class of singular hypersurfaces Jie Wu February 9, 2018 15:00–16:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.





