Lecture Topics

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	DF-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

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.