This course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex domains under discontinuous group actions, as algebraic ...
L'atelier consiste en une mise en situation de projet dans l'existant, à a fois concrète et prospective. Celle-ci s'étend du diagnostic à la réhabilitation, en passant par la reprogrammation. La halle Tapponnier, construite à Annemasse en 1929 selon un pro ...
L'atelier consiste en une mise en situation de projet dans l'existant, à a fois concrète et prospective. Celle-ci s'étend du diagnostic à la réhabilitation, en passant par la reprogrammation. La création d'un Student Center sur le campus historique de l'EP ...
We will study classical and modern deformation theory of schemes and coherent sheaves. Participants should have a solid background in scheme-theory, for example being familiar with the first 3 chapters of Hartshorne's 'Algebraic Geometry'. ...
This course will explain the theory of vanishing cycles and perverse sheaves. We will see how the Hard Lefschetz theorem can be proved using perverse sheaves. If we have more time we will try to see the decomposition theorem and how to categorify certain p ...
In this course we will describe in numerous examples how methods from l-adic cohomology as developed by Grothendieck, Deligne and Katz can interact with methods from analytic number theory (prime numbers, modular forms etc...). ...