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Nombre de programmes trouvés : 806
Conférences
le (1h1m14s)
A. von Pippich - An analytic class number type formula for PSL2(Z)
For any Fuchsian subgroup Γ⊂PSL2(R) of the first kind, Selberg introduced the Selberg zeta function in analogy to the Riemann zeta function using the lengths of simple closed geodesics on Γ∖H instead of prime numbers. In this talk, we report on a formula that determines the special value at s=1 of the derivative of the Selberg zeta function for Γ=PSL2(Z). This formula is obtained as an application of a generalized Riemann-Roch isometry for the trivial sheaf on ¯¯¯¯¯¯¯¯¯¯¯Γ∖H, equipped with the Poincaré metric. This is joint ... Voir la vidéo
Conférences
le (1h3m1s)
Y. Tang - Exceptional splitting of reductions of abelian surfaces with real multiplication
Chavdarov and Zywina showed that after passing to a suitable field extension, every abelian surface A with real multiplication over some number field has geometrically simple reduction modulo p for a density one set of primes p. One may ask whether its complement, the density zero set of primes p such that the reduction of A modulo p is not geometrically simple, is infinite. Such question is analogous to the study of exceptional mod p isogeny between two elliptic curves in the recent work of Charles. ... Voir la vidéo
Cours magistraux
le (1h29m59s)
P. Salberger - Quantitative aspects of rational points on algebraic varieties (part4)
... conjectures can be studied using the Hardy-Littlewood method for non-singular complete intersections of high dimensions and by adelic harmonic analysis for varieties related to algebraic groups. But for most varieties there are no other methods... Voir la vidéo
Cours magistraux
le (1h24m44s)
P. Salberger - Quantitative aspects of rational points on algebraic varieties (part3)
... conjectures can be studied using the Hardy-Littlewood method for non-singular complete intersections of high dimensions and by adelic harmonic analysis for varieties related to algebraic groups. But for most varieties there are no other methods... Voir la vidéo
Cours magistraux
le (1h26m53s)
J-B Bost - Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part2)
In the classical analogy between number fields and function fields, an Euclidean lattice (E,∥.∥) may be seen as the counterpart of a vector bundle V on a smooth projective curve C over some field k. Then the arithmetic counterpart of the dimension h0(C,V)=dimkΓ(C,V) of the space of sections of V is the non-negative real number h0θ(E,∥.∥):=log∑v∈Ee−π∥v∥2. In these lectures, I will firstly discuss diverse properties of the invariant h0θ and of its extensions to certain infinite dimensional generalizations of Euclidean lattices. Then I will present ... Voir la vidéo
Cours magistraux
le (1h3m58s)
P. Salberger - Quantitative aspects of rational points on algebraic varieties (part2)
... conjectures can be studied using the Hardy-Littlewood method for non-singular complete intersections of high dimensions and by adelic harmonic analysis for varieties related to algebraic groups. But for most varieties there are no other methods... Voir la vidéo
Cours magistraux
le (1h31m5s)
J-B Bost - Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part1)
In the classical analogy between number fields and function fields, an Euclidean lattice (E,∥.∥) may be seen as the counterpart of a vector bundle V on a smooth projective curve C over some field k. Then the arithmetic counterpart of the dimension h0(C,V)=dimkΓ(C,V) of the space of sections of V is the non-negative real number h0θ(E,∥.∥):=log∑v∈Ee−π∥v∥2. In these lectures, I will firstly discuss diverse properties of the invariant h0θ and of its extensions to certain infinite dimensional generalizations of Euclidean lattices. Then I will present ... Voir la vidéo
Cours magistraux
le (1h4m38s)
P. Salberger - Quantitative aspects of rational points on algebraic varieties (part1)
... conjectures can be studied using the Hardy-Littlewood method for non-singular complete intersections of high dimensions and by adelic harmonic analysis for varieties related to algebraic groups. But for most varieties there are no other methods... Voir la vidéo
Conférences
le (47m27s)
