Programa de Doutorado: Tópicos de Formas Modulares

Professor: Hossein Movasati

Pré-requesitos: Análise Complexa

Modular and congruence groups, modular forms of a given weight, cusp forms, Eisenstein series, theta series, Hecke operators, Fourier expansions, Growth of the coefficients, L-functions of modular forms and their functional equations,   Oldforms and Newforms, modular elliptic curves, Galois representations and modular forms, application to congruent numbers.

Referências:
Koblitz, Neal. - Introduction to elliptic curves and modular forms, Graduate Texts in Mathematics, 97. Springer-Verlag, New York, 1993.
Diamond, Fred; Shurman, Jerry. -  A first course in modular forms. Graduate Texts in Mathematics, 228. Springer-Verlag, New York, 2005.
ZAGIER, D. - Elliptic modular forms and their applications, Universitext, Springer, 2008.

Playlist no Youtube: 
https://www.youtube.com/playlist?list=PLo4jXE-LdDTRfOexYOd6UymMfMe_hl-ah

DOWNLOAD

Aula 01 - 23-08-2016 - download
Aula 02 - 25-08-2016 - download
Aula 03 - 30-08-2016 - download
Aula 04 - 01-09-2016 - download
Aula 05 - 06-09-2016 - download
Aula 06 - 08-09-2016 - download
Aula 07 - 13-09-2016 - download
Aula 08 - 20-09-2016 - download
Aula 09 - 22-09-2016 - download
Aula 10 - 27-09-2016 - download
Aula 11 - 29-09-2016 - download
Aula 12 - 04-10-2016 - download
Aula 13 - 06-10-2016 - download
Aula 14 - 11-10-2016 - download
Aula 15 - 13-10-2016 - download
Aula 16 - 18-10-2016 - download
Aula 17 - 25-10-2016 - download
Aula 18 - 27-10-2016 - download
Aula 19 - 01-11-2016 - download
Aula 20 - 03-11-2016 - download
Aula 21 - 08-11-2016 - download
Aula 22 - 10-11-2016 - download

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