Topic outline

  • General

    We will begin this short seminar course by reviewing Euler's change of paradigm, with respect to Euclid, and his proof on infinitude of primes. Then, we will study the generalization made by Dirichlet, and will prove Dirichlet's theorem on arithmetic progression. Through the course we will learn about the development of L-functions, character theory and the beginning of the relation between Galois representations and certain complex functions. There will be 5 sessions during 2 weeks. 

    For students interested in credits: attendance gives 2 credits and more can be obtained (upon request) by completing further assignments. 

    Schedule:

    Tue 7.1. 10:15-12 M3

    Thu 9.1. 10:15-12 M3

    Mon 13.1. 10:15-12 M3

    Wed 15.1. 10:15-12 M134

    Fri 17.1. 10:15-12 M3

    Lecturer: Prof. Guillermo Mantilla-Soler, gmantelia@gmail.com

    Course assistant: Max Forst, maxwell.forst@aalto.fi.

    More information from Camilla and Guillermo.

    Welcome!