Hodge Theory Fall 2026

Hodge Theory Fall 2026 – SIMIS

Course Information

Syllabus

The course introduces complex manifolds, Kähler manifolds, Hodge structures, and variations of Hodge structures. Through examples of curves, K3 surfaces, Calabi–Yau manifolds, and families of hypersurfaces, we will study the corresponding period domains and period maps.

Course Schedule

The schedule follows weeks 1–16 of the Fudan University 2026–2027 academic calendar. The two holiday Fridays are marked below; there are 14 regular Friday meetings between September 11 and December 25, 2026.

Class meetings: SIMIS 1010, 9:50–12:30 (Shanghai time). Week numbers follow the Fudan academic calendar and include holiday weeks.

Fudan week

Date (Friday)

Arrangement

1

September 11, 2026

Regular class

2

September 18, 2026

Regular class

3

September 25, 2026

No class — Mid-Autumn Festival holiday

4

October 2, 2026

No class — National Day holiday

5

October 9, 2026

Regular class

6

October 16, 2026

Regular class

7

October 23, 2026

Regular class

8

October 30, 2026

Regular class

9

November 6, 2026

Regular class

10

November 13, 2026

Regular class

11

November 20, 2026

Regular class

12

November 27, 2026

Regular class

13

December 4, 2026

Regular class

14

December 11, 2026

Regular class

15

December 18, 2026

Regular class

16

December 25, 2026

Regular class

Fudan weeks 17–18 (December 28, 2026–January 8, 2027) are reserved for final examinations, with regular classes suspended. January 1 is the New Year’s Day holiday; it is not a regular meeting of this course.

Calendar information checked on September 8, 2026.

Lectures

Lecture notes and recordings will be posted here when available.

Homework assignments

To be announced.

Projects

To be announced.

References

To be announced.

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