Conferenciante: Profesor Frank Neumann, de la Universidad de Leicester (U.K.).
Fecha, hora y lugar: jueves, 25 de septiembre, a las 12 horas, en el Seminario de Geometría y Topología (CITE III, 2.68).
Abstract: In 1949 Weil conjectured deep connections between the topology and arithmetic of algebraic varieties over a finite field in charactersitic p. These conjectures led to the development of l-adic etale cohomology as an analog of singular rational cohomology in topology by Grothendieck and his school, which culminated in the proof of the Weil conjectures by Deligne in the 70s. In this talk, after giving a brief introduction into moduli problems and the classical Weil conjectures for algebraic varieties, I will outline how an analog of these Weil conjectures for the moduli stack of vector bundles on a given algebraic curve can be formulated and proved.








