Number theory seminar in memory of F. Momose
Dates
Monday 21 to Wednesday 23 May, 2012
Location
Facultat de Matemàtiques i Estadística, UPC, Barcelona.
Organising committee
Jinhui Chao, Francesc Fité Naya, Josep González Rovira, Joan-C. Lario and Tsutomu Sekiguchi
Themes
Plenary talks of the Conference of the Barcelona-Boston-Tokyo Number Theory seminar, in memory of F. Momose.
Co-ordinators: Jinhui Chao, Francesc Fité Naya, Josep González Rovira, Joan-C. Lario and Tsutomu Sekiguchi
- Algebraic points on Shimura curves of $\Gamma_0(p)$-type
Keisuke Arai - Genus two lifts of $\mathbb{Q}$-curves whose jacobians have −2 multiplication over $\mathbb{Q}$.
Kiichiro Hashimoto - Classification of covering curves of hyperelliptic curves over extension fields: odd characteristics.
Tsutomu Iijima - Sato-Tate groups of abelian varieties.
Kiran S. Kedlaya - Explicit computations with ATR points.
Marc Masdeu - Rational points of $X_0^+ (p^r )$ for all primes.
Pierre Parent - A p-adic Gross-Zagier formula for diagonal cycles.
Victor Rotger Cerda - On the cyclotomic twisted torus and some torsors.
Tsutomu Sekiguchi - Hyperelliptic curve cryptosystems are based on the discrete logarithm problem (DLP) of hyperelliptic curves defined over finite fields.
Mahoro Shimura - Computing Sato-Tate distributions of low genus curves.
Andrew V. Sutherland - Uniform boundedness and arithmetic fundamental groups.
Akio Tamagawa
Contributed Talks of the Conference of the Barcelona-Boston-Tokyo Number Theory seminar, in memory of F. Momose.
Co-ordinators: Jinhui Chao, Francesc Fité Naya, Josep González Rovira, Joan-C. Lario and Tsutomu Sekiguchi
- Momose and bielliptic modular curves
Francesc Bars Cortina - On the Heegner index of an elliptic curve over $\mathbb{Q}$.
Carlos Castaño-Bernard - On a factorization of Riemann’s $\zeta$ function with respect to a quadratic field and its computation.
Xavi Ros - Galois representations attached to points on Shimura curves.
Carlos de Vera Piquero
Calendar
Monday 21
09.30 - 10.20:
Rational points of $X_0^+ (p^r )$ for all primes. (Pierre Parent)
11.00 - 11.50:
Algebraic points on Shimura curves of $\Gamma_0(p)$-type (Keisuke Arai)
15.00 - 15.50:
Genus two lifts of $\mathbb{Q}$-curves whose jacobians have −2 multiplication over $\mathbb{Q}$. (Kiichiro Hashimoto)
16.20 - 16.50:
On a factorization of Riemann’s $\zeta$ function with respect to a quadratic field and its computation. (Xavi Ros)
17.00 - 17.30:
Galois representations attached to points on Shimura curves. (Carlos de Vera Piquero)
Tuesday 22
09.30 - 10.20:
Uniform boundedness and arithmetic fundamental groups. (Akio Tamagawa)
11.00 - 11.50:
On the cyclotomic twisted torus and some torsors. (Tsutomu Sekiguchi)
12.00 - 12.50:
A p-adic Gross-Zagier formula for diagonal cycles. (Victor Rotger Cerda)
15.00 - 15.50:
Explicit computations with ATR points. (Marc Masdeu)
16.20 - 16.50:
On the Heegner index of an elliptic curve over $\mathbb{Q}$. (Carlos Castaño-Bernard)
Wednesday 23
09.30 - 10.20:
Sato-Tate groups of abelian varieties. (Kiran S. Kedlaya)
11.00 - 11.50:
Hyperelliptic curve cryptosystems are based on the discrete logarithm problem (DLP) of hyperelliptic curves defined over finite fields. (Mahoro Shimura)
12.00 - 12.50:
Computing Sato-Tate distributions of low genus curves. (Andrew V. Sutherland)
15.00 - 15.50:
Classification of covering curves of hyperelliptic curves over extension fields: odd characteristics. (Tsutomu Iijima)
17.00 - 17.30:
Momose and bielliptic modular curves (Francesc Bars Cortina)
