|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|
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.