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L-Functions and Algebraic Varieties. A conference in memory of Alexey Zykin
(February 5–9, 2018, Moscow Independent University, 11 Bolshoi Vlassievsky per., Moscow)

Zeta and L-functions 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 L-functions 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 L-functions 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.

Website: http://anrglobes.math.cnrs.fr/2018Lfct/index.html

Organizing Committee
Gorchinskiy Sergey Olegovich
Hindry Marc
Lebacque Philippe
Nechaev Sergei Konstantinovich
Rybakov Sergey Yur'evich
Tsfasman Michael Anatol'evich

Organisations
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


L-Functions 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.
M. A. Tsfasman
  
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.
M. Hindry
  
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 beta-shift 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.
Yu. Bilu
  

February 7, 2018 (Wed)
10. Products of L-function
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. Low-lying zeros of quadratic Dirichlet L-function: 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.
D. V. Osipov
  
14. Harmonic analysis on discrete groups and analytic properties of zeta-functions of algebraic varieties
A. N. Parshin
February 8, 2018 12:30–13:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.
A. N. Parshin
  
15. A Brauer-Siegel theorem for an Artin-Schreier 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 K-groups 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 M-function 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.
Jie Wu
  
 
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