Joi, 10 septembrie 2026, de la ora 12:30, în sala e de la cădirea Mathematica, Prof. dr. George Lusztig (MIT) va susține o prelegere cu titlul:

Fourier transform as a triangular matrix

adresat tuturor cercetătorilor interesați, precum și masteranzilor și doctoranzilor. Un rezumat al prezentării poate fi găsit mai jos.

Abstract: Let V be a vector space of dimension 2n over the field F with two elements. Assume that we are given a nondegenerate symplectic form on V with values in F. Let X be the vector space of complex valued functions on V. Fourier transform is an involution of X. We show that there exists an interesting basis of X in which Fourier transform acts by a triangular matrix. This follows the tradition of Hermite who showed that Fourier transform on the real line can be diagonalized.