Speaker: | Andrew Macpherson (Kavli IPMU) |
---|---|
Title: | E-infinity geometry and symmetric spectra |
Date (JST): | Thu, May 31, 2018, 15:30 - 17:00 |
Place: | Seminar Room A |
Abstract: |
The philosophy of Tannaka duality tells us that we can understand geometric objects by studying their symmetric monoidal categories of vector bundles. Taking a liberal interpretation of this philosophy allows us to view any symmetric monoidal category as a(commutative) geometric object in its own right. I will apply this philosophy to explain an analogy between Serre's formula for the category of modules on a projectivisation and a construction from homotopy theory not traditionally thought of as "geometric": that of symmetric spectra. |