Matroids and the Integral Hodge Conjecture
This is an algebraic geometry learning seminar (2026 Fall) on matroids, degenerations of abelian varieties, and their applications to the integral Hodge conjecture, stable rationality, and complex structures on S6.
Time: Fridays, 1:30–3:00 pm
Location: Room 507, Mathematics Hall
Organizers:
James Hotchkiss, Daigo Ito, Yoonjoo Kim,
and
Zhijia Zhang
References
- [EFS] Philip Engel, Olivier de Gaay Fortman, and Stefan Schreieder, Combinatorics and Hodge theory of degenerations of abelian varieties: A survey of the Mumford construction.
- [EFS2] Philip Engel, Olivier de Gaay Fortman, and Stefan Schreieder, Matroids and the integral Hodge conjecture for abelian varieties.
- [E] Philip Engel, Complex structures on S6.
Schedule
- September 18: Speaker: James Hotchkiss
- September 25: TBD
- October 2: TBD
- October 9: TBD
- October 16: TBD
- October 23: TBD
- October 30: TBD
- November 6: TBD
- November 13: TBD
- November 20: TBD
- November 27: Thanksgiving
- December 4: TBD
- December 11: TBD