# Log Seminar

**Organizers**: Suraj Dash and Khai-Hoan Nguyen-Dang

**Time**: Saturday at 16:00 CEST via Zoom. The first talk will take place on October 2.

The first part of the seminar covers the basic language of Log Geometry based on **[OG] **Ogus' *Lectures on Logarithmic Algebraic Geometry. *

Other useful references are **[MG] **Mark Gross' *Tropical Geometry and Mirror Symmetry* for more examples and **[OL]** Martin Olsson's* Logarithmic Geometry and Algebraic Stacks* for a complement.

**Tentative Schedule**

**Talk 0**

Overview and Planning.

**Talk I**

Geometry of Monoids. [OG, I.1.1-1.5]

**Talk II**

Functority of Log Schemes. [OG, III.1.1-1.3]

Charts of Log Schemes. [OG, III.1.4]

’Étale log structures’ ⇐⇒ ’Zariski Log structures’. [OL1, ??]

**Talk III**

Geometry of Monoids II. [OG, I.4.1,4.2,4.5,4.6,4.8]

Morphisms of Log Schemes. Fiber Products of Log Schemes [OG, II.2]

**Talk IV**

Theory of "neat" Charts. [OG, II.2.3] and [OL1, ??]

’Log Geometry’ ⇐⇒ ’Toric Varieties’. [MG, ??]

**Talk V**

Deligne-Falting Structure. [OG, II.1.6-1.7]

’Log Structures’ ⇐⇒ ’Morphisms of Certain Line Bundles’

**Talk VI**

Log Derivations and Log Differentials. [OG, IV.1-2]

Log Smoothness (Étale, Unramified,..). [OG, IV.3.1] + [MG]

**Talk VII**

Kato’s Criterion for Log Smoothness. [OG, IV.3.2]

Other Criterions. [OG, IV.3.3]

**Talk VIII**

Log Flatness. [OG, IV.4] + [OL, ??]

**Talk IX**

Log Deformation Theory. [OG, III.4]

**Talk X**

Log de Rham Cohomology. [OG, IV]+[MG, III.5]