Mathematical Sciences Research Institute

Home » AT Postdoc Seminar: Homotopy and arithmetic: a duality playground


AT Postdoc Seminar: Homotopy and arithmetic: a duality playground May 02, 2014 (01:00 PM PDT - 02:00 PM PDT)
Parent Program: Algebraic Topology
Location: MSRI: Simons Auditorium
Speaker(s) Vesna Stojanoska (University of Illinois at Urbana-Champaign)
Description No Description
No Video Uploaded

Homotopy theory can be thought of as the study of geometric objects and continuous deformations between them, and then iterating the idea as the deformations themselves form geometric objects. One result of this iteration is that it replaces morphism sets with topological spaces, thus remembering a lot more information. There are many examples to show that the approach of replacing sets with spaces in a meaningful way can lead to remarkable developments. In this talk, I will explain some of my recent work in the case of implementing homotopy theory in arithmetic in a way which produces new results and relationships between some classical notions of duality in both fields.

No Notes/Supplements Uploaded No Video Files Uploaded