Séminaire Bourbaki

Two Proofs of the P = W Conjecture [after Maulik-Shen and Hausel-Mellit-Minets-Schiffmann]
Video and Report (November 2023).

Mini-course notes

Mini-course: Stratifications and (in)stability Talk 1 Talk 2 (Mainz, 29 February - 4 March 2016).

Mini-course: Stratifications for group actions and moduli problems (Seoul, 7-11th December 2015).

Notes and Videos from research talks

An introduction to GIT (Frankfurt, April 2023)

Motivic mirror symmetry for Higgs bundles (Notes) and Video (LAGOON webinar, November 2022)

Motives of moduli spaces of Higgs bundles (Seminar in Leiden, March 2022)

Motives of moduli spaces of bundles on curves (Notes) and Video (VBAC webinar, July 2021)

Motives of stacks of vector bundles on a curve and applications (Online seminar, Orsay, June 2021)

Notes from expository talks

Bridgeland stability conditions on curves: Talk 1 Talk 2 (FU Berlin, Summer Semester 2015)

Moduli of quiver representations via geometric invariant theory notes (FU Berlin, Winter Semester 2015)

Moment maps and symplectic reduction notes (FU Berlin, Summer Semester 2016)

The Kempf--Ness Theorem notes (FU Berlin, Summer Semester 2016)

Moduli of algebraic vector bundles and the Narasimhan-Seshadri correspondence notes (Zurich, Winter Semester 2013)

Previous teaching resources

Lecture course: Moduli problems and geometric invariant theory (FU Berlin, Winter Semester 2015)
Course webpage and Lecture notes

Lecture course: Geometric invariant theory and symplectic quotients (Zurich, Winter Semester 2012)
Lecture notes