| 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.