Lecture Topics

Lectures on Log Geometry

Week of Monday Wednesday Friday  
8/22     Introduction Introduction
8/29 *Limits of Monoids Ideals and geometry Finiteness*, Monoids and monoid actions
9/5 Holiday Exactness Duality Exactness, Duality
9/12 Cones* Duality for cones Valuative monoids Cones. Valuations
9/19 Monoid schemes* Toric log structures Local and logarithmic homomorphisms Toric Varieties.
9/26 Exact, Kummer etc. Flat actions Regular actions Homomorphisms and actions
10/3 Integrality Integrality and local exactness Topology of cones Integral homomorphisms
10/10 Sheaves of monoids Monoschemes Charts

Log schemes

Log points and dashes

Monoidal spaces. Charts
10/17 Compactifying log structures


D-stability Examples of Log schemes
10/24 Etale vs Zariski toplogies. The space X_log The exponential sequence Betti realizations
10/31 The moment map X_log as a manifold with boundary
11/7 Derivations and differentials   Holiday Calculus, Deformations
11/14 Smoothness
11/21 Holiday de Rham cohomology
11/28 Riemann Hilbert
12/5 Reading Week Instruction ends  

* means that the file has been updated.



Here is a section on equivariant sheaves on monoid schemes that I didn't have time to lecture on. Comments are most welcome, especially on the last part, which I didnt' revise adequately either.

File translated from TEX by TTH, version 2.64.
On 21 Jan 2003, 16:46.