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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. RSS:
 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 idealsFebruary 5, 2018 11:00–12:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 2. Measures Corresponding to Curves and Abelian VarietesM. A. TsfasmanFebruary 5, 2018 12:30–13:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 3. Integral points on a family of elliptic curvesM. HindryFebruary 5, 2018 15:00–16:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 4. Density of rational points on elliptic surfacesFebruary 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 VarietesFebruary 6, 2018 10:00–11:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 6. Isogeny Graphs of Ordinary Abelian Surfaces and Endomorphism RingsFebruary 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 fieldsFebruary 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 measuresFebruary 6, 2018 15:00–16:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 9. Equation with singular moduli: effective aspectsYu. BiluFebruary 6, 2018 16:30–17:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. February 7, 2018 (Wed) 10. Products of L-functionFebruary 7, 2018 10:00–11:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 11. Chebyshev's bias and the Chebotarev density theoremFebruary 7, 2018 11:00–12:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 12. Low-lying zeros of quadratic Dirichlet L-function: the transitionFebruary 7, 2018 12:30–13:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. February 8, 2018 (Thu) 13. Adelic quotient groups on arithmetic surfacesD. V. OsipovFebruary 8, 2018 11:00–12:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 14. Harmonic analysis on discrete groups and analytic properties of zeta-functions of algebraic varietiesA. N. ParshinFebruary 8, 2018 12:30–13:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 15. A Brauer-Siegel theorem for an Artin-Schreier family of elliptic curvesFebruary 8, 2018 14:30–15:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 16. T. B. AFebruary 8, 2018 16:00–17:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 17. Regulators of elliptic curvesFebruary 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 characteristicFebruary 9, 2018 11:00–12:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 19. On M-function associated with modular formsFebruary 9, 2018 12:30–13:30, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per. 20. Manin's conjecture for a class of singular hypersurfacesJie WuFebruary 9, 2018 15:00–16:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.