An Introduction to motives

 Working Group on Algebraic Number Theory Topic: An Introduction to motives Speaker: Joseph Ayoub Affiliation: University of Zurich Date: Thursday, February 7 Time/Room: 2:00pm - 3:00pm/Fine Hall 322

We review the construction of the triangulated categories of motives over a base scheme (following the method of Morel and Voevodsky). We then explain quickly the construction of various operations between these categories as well as some realization functors (Betti and $\ell$-adic). If time permits, we also discuss the rigid analytic variant and develop an application to the theory of nearby and vanishing cycles.