Introduction to Categorical Geometry
Event details
| Date | 12.06.2014 |
| Hour | 10:15 › 11:30 |
| Speaker | Eric Bunch |
| Location | |
| Category | Conferences - Seminars |
Given a complete and cocomplete closed symmetric monoidal category C, consider CMon(C), the category of commutative monoids in C. We wish to define a spectrum that takes R \in CMon(C) and gives Spec(R), a topological space together with a structure sheaf that takes values in CMon(C). To do this, we make use of the (bi)fibration Mod --> CMon(C), and instead of defining directly Spec(R), we will actually define Spec(R-mod). In the case when C = Z-mod, this spectrum recovers the prime spectrum of a ring. If time permits, I will discuss thoughts on the case when C = S-mod; modules over the sphere spectrum, and CMon(C) is commutative ring spectra. In this case, we do not wish to distinguish between two Quillen equivalent ring spectra, and thus must modify the definition of Spec(R). The case when C = S-mod is the subject of my research this summer under the guidance of Dr. Hess.
Links
Practical information
- Informed public
- Free
Organizer
- Jérôme Scherer
Contact
- Jérôme Scherer