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ORBi

The Kernels of Jacobians at Eisenstein primes Yoo, Hwajong Presentation (2014, December 22) Detailed reference viewed: 19 (2 UL)The Kernels of Jacobians at Eisenstein primes Yoo, Hwajong Presentation (2014, October 16) Detailed reference viewed: 32 (0 UL)Non-optimal levels of a reducible mod l modular representation Yoo, Hwajong E-print/Working paper (2014) Let $ell>3$ be a prime and $N$ is a square-free integer prime to $\ell$. For each prime divisor $p$ of $N$, let $a_p$ is either 1 or -1. We give a sufficient criterion for the existence of a newform $f ... [more ▼] Let $ell>3$ be a prime and $N$ is a square-free integer prime to $\ell$. For each prime divisor $p$ of $N$, let $a_p$ is either 1 or -1. We give a sufficient criterion for the existence of a newform $f$ of weight 2 for $\Gamma_0(N)$ such that the mod $\ell$ Galois representation attached to $f$ is reducible and $U_p f= a_p f$ for prime divisors $p$ of $N$. The main techniques used are level raising methods based on an exact sequence due to Ribet. [less ▲] Detailed reference viewed: 30 (0 UL)Non-optimal levels of a reducible mod l modular representation Yoo, Hwajong Presentation (2014, August 26) Detailed reference viewed: 19 (0 UL)The 2nd MYNT Yoo, Hwajong Presentation (2013, August 28) We present the multiplicity one theorem for Eisenstein maximal ideals. Detailed reference viewed: 25 (0 UL)Pure and Applied Number Theory Conference Yoo, Hwajong Presentation (2013, August 12) We present the multiplicity one theorem for Eisenstein maximal ideals. Detailed reference viewed: 13 (0 UL)Intensive workshop on Fermat's last theorem Yoo, Hwajong Presentation (2013, August) We give 9 lectures about Wiles' proof on Fermat's Last Theorem. Detailed reference viewed: 27 (2 UL)The 10th KWMS international conference Yoo, Hwajong Presentation (2013, June 20) We discussed level-raising method for residually reducible Galois representations. Detailed reference viewed: 109 (3 UL)Bay area algebraic number theory and arithmetic geometry day Yoo, Hwajong Presentation (2013, April 06) We discussed level-raising method for residually reducible Galois representations. Detailed reference viewed: 20 (0 UL)Workshop on Modular forms and Galois representations Yoo, Hwajong Presentation (2013, January 07) We present the result on non-optimal levels of reducible modular Galois representations. Detailed reference viewed: 25 (2 UL)The index of an Eisenstein ideal of multiplicity one Yoo, Hwajong E-print/Working paper (2013) Mazur’s fundamental work on Eisenstein ideals for prime level has a variety of arith- metic applications. In this article, we generalize his work to arbitrary square-free level. We compute the index of an ... [more ▼] Mazur’s fundamental work on Eisenstein ideals for prime level has a variety of arith- metic applications. In this article, we generalize his work to arbitrary square-free level. We compute the index of an Eisenstein ideal and the dimension of the m-torsion of the modular Jacobian vari- ety, where m is an Eisenstein maximal ideal. In many cases, the dimension of the m-torsion is 2, in other words, multiplicity one theorem holds. [less ▲] Detailed reference viewed: 60 (3 UL) |
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