This is the web page for the logarithmic geometry seminar run by David Holmes and Garnet Akeyr.
Logarithmic geometry is an area of mathematics that adds additional "log structure" to schemes that is useful in the study of semistable varieties. The aim of the seminar is to understand basic definitions and examples, and to understand at least the statement of the main theorem of [F. Kato, Log smooth deformations and moduli of log smooth curves], realising the Deligne-Mumford stack of stable curves as a stack of log smooth curves. .
The first seminar will be held on February 15th from 10:00-12:00. Subsequent seminars will be held in room 408. Please contact Garnet to be added to the mailing list.
| Week # | Room # | Speaker | Subject | Notes |
|---|---|---|---|---|
| 1 | 405 | Garnet Akeyr | Logarithmic Geometry and Sheaves of Monoids | Notes |
| 2 | 408 | Garnet Akeyr, David Holmes | Logarithmic Structures, Toric Varieties | Notes |
| 3 | 408 | David Holmes | Toric Varieties cont., Morphisms | Notes |
| 5 | 408 | Gabriel Zalamansky | Logarithmic Smoothness | -- |
| 6 | 408 | Gabriel Zalamansky | Logarithmic Smoothness cont. | -- |
| 7 | 408 | Garnet Akeyr | Kato's paper on Log Smooth Deformation Theory | Notes by David Holmes on log stacks |
| 8 | 408 | Garnet Akeyr, David Holmes | Kato's paper cont., Valuativizations | Notes |
| 9 | 408 | David Holmes | Valuativizations | Notes |
We will be following Arthur Ogus' book on logarithmic geometry, available in preprint on his website here. Please contact him for the password to access the notes.