====== SFARA seminar: ======

====== Part I ======


Meetings: B1-38, Mondays 10:30 - 11:45

//Lectures on linear algebraic groups//, by prof. W. Gajda.

This is a course based on textbooks by Borel, Humphreys and Springer.



====== Part II ======

Meetings: B1-37, Mondays 12:00 - 13:30

Literature: David A. Cox, [[http://books.google.pl/books/about/Primes_of_the_form_x2_+_ny2.html?id=pSMlAQAAIAAJ&redir_esc=y|Primes of the form x^2+n y^2]]

Syllabus: {{:opis_seminarium.pdf|Detailed plan of lectures.}}

Terms:

^ Date ^ Lecturer ^ Topic ^ Files ^
|14.10.13 | Bartosz Naskręcki | Intoductory lecture | |
|21.10.13 | Jędrzej Garnek | Lagrange, Legendre and quadratic forms | |
|28.10.13 | Maciej Zalewski | Gauss, composition and genera | |
|4.11.13 | Dorota Blinkiewicz | Cubic and biquadratic reciprocity | |
|18.11.13 | Wojciech Gajda | The Hilbert class field and p=x*x+ny*y | [[http://bnaskrecki.faculty.wmi.amu.edu.pl/SFARA/Wyklad5.pdf | Wykład 5 ]], [[http://bnaskrecki.faculty.wmi.amu.edu.pl/SFARA/Symbol_Artina.pdf | Symbol Artina]] |
|25.11.13 | Wojciech Politarczyk  | The Hilbert class field and genus theory | |
|2.12.13 | Adrian Łydka | Orders in imaginary quadratic fields | |
|9.12.13 | Bartłomiej Bzdęga | Class field theory and the Cebotarev density | {{:notatki_b_bzdega_tw_czebotariowa.pdf|Tw. Czebotariowa - notatki z wykładu}} |
|16.12.13 | Stefan Barańczuk | Ring class fields and p=x*x+ny*y | |
|18.12.13 | Krzysztof Górnisiewicz | Elliptic functions and complex multiplication | |
|13.01.14 | Wojciech Gajda | Modular functions and ring class fields  | |
|20.01.14 | Bartosz Naskręcki | Modular functions and singular $j$-invariants | |
|27.01.14 | Bartosz Naskręcki | The class equation | |