A Darboux-type theorem in positive characteristic

Seminar series

Algebraic and Symplectic Geometry Seminar

Date

Tue, 09 Jun 2026
15:30

Location

Speaker

Jiaqi Fu

Organisation

Université de Toulouse

Donaldson--Thomas invariants are virtual counts of coherent sheaves on complex Calabi–Yau 3-folds, where Brav–Bussi–Joyce's shifted Darboux theorem plays an important role. In this talk, I will present a Darboux-type theorem in characteristic $p>2$ for $(-1)$-shifted symplectic forms equipped with an "infinitesimal" structure suggested by Toën and Robalo. This result may be viewed as a first step towards exploring Donaldson–Thomas theory in positive characteristic.