Benoît Dejoncheere

Research areas

Globally, I am interested in flag varieties and spherical varieties, and in their GIT quotients. More precisely, I am studying algebras of differential operators on wonderful varieties (which are generalizations of flag varieties), and more recenlty, these questions have led me to study torus actions on flag varieties in terms of GIT.

(Pre-)publications

• Unstable points for torus actions on flag varieties, arxiv.org/pdf/1709.05942.pdf
• On differential operators on complete symmetric varieties of type A1 and A2, arxiv.org/pdf/1609.06998.pdf (submitted)

Other documents

• CV (french)(english)
• PhD Thesis : Study of global differential operators on some projective algebraic varieties, written under the supervision of Alexis Tchoudjem and Olivier Mathieu at Institut Camille Jordan, defended in december 2016 (written in french)

Teaching

• Exercise sessions : Maths 2 (spr. 2017)
• Exercise sessions : Fundamentals of Mathematics I (fall 2016)
• Exercise sessions and oral exams : Algebra I "cursus prépa" (fall 2015)
• Exercise sessions : Matrix Calculus and Applied Linear Algebra II (spr. 2014)
• Exercise sessions : Mathematics Basic Techniques (spr. 2014)

Reading groups

• Kazhdan-Lusztig polynomials and Schubert varieties (fall 2017)
• Arakelov geometry and analytic torsion (spr. 2017)
• PhD students reading group on elliptic curves (2016-2017)
• Lectures on Algebraic Cycles by S. Bloch (2016-2017)
• Introduction to reductive group schemes (fall 2016, fall 2017)
• Vector bundles, buildings and stability (spr. 2016)
• Algebraic topology and computations (fall 2015)
• Riemann-Hilbert correspondence (spr. 2014)
• Cluster algebras and applications (2013-2014)

Contact :

Bureau 243
Institut Camille Jordan
Université Claude Bernard Lyon 1
43 boulevard du 11 novembre 1918
69622 Villeurbanne cedex
France
E-mail : dejoncheere(at)math.univ-lyon1.fr