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Number Theory Seminar
Seminar information archive ～07/23｜Next seminar｜Future seminars 07/24～
| Date, time & place | Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Naoki Imai, Shane Kelly |
2026/07/15
17:00-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)
Naoto Fukutomi (University of Tokyo)
Localization and coalescence of condensed ringed spaces
Naoto Fukutomi (University of Tokyo)
Localization and coalescence of condensed ringed spaces
[ Abstract ]
Gillam proved that the category of locally ringed spaces admits a fully faithful embedding into a certain category, which has a right adjoint that maps some simple objects to the spectra of rings. In this talk, we use condensed mathematics to define an analogous category and its coreflective full subcategories, and explain that one of their coreflections maps certain simple objects to the adic spectra of certain Huber pairs.
Gillam proved that the category of locally ringed spaces admits a fully faithful embedding into a certain category, which has a right adjoint that maps some simple objects to the spectra of rings. In this talk, we use condensed mathematics to define an analogous category and its coreflective full subcategories, and explain that one of their coreflections maps certain simple objects to the adic spectra of certain Huber pairs.
