Jean-Luc Brylinski

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Jean-Luc Brylinski (born September 12, 1951 ) is a French mathematician who mainly deals with representation theory and mathematical physics.

Brylinski studied at the École normal supérieure and received his doctorate in 1981 from the University of Paris XI in Orsay . He then became a professor at Pennsylvania State University at the Center for Geometry and Mathematical Physics.

Brylinski proved in 1981 with Masaki Kashiwara ( Inventiones Mathematicae vol. 64, p. 387) the Kazhdan -Lusztig conjectures (independently also proven by Alexander Beilinson and Joseph Bernstein ). He then dealt with the geometric representation theory developed in the context of the proofs of this conjecture and its application in mathematical physics and also with quantum information theory.

He is married to the mathematician Ranee Brylinski . He currently lives in Boston .

Fonts

  • Loop spaces, characteristic classes and geometric quantization. Birkhäuser 1992