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INCONTRO DI GEOMETRIA BRASILE ITALIA
 BRAZIL-ITALY GEOMETRY MEETING
 ENCONTRO DE GEOMETRIA BRASIL-ITÁLIA




Minha Palestra:
Wronskians, Universal ODE and Schubert Calculus
Abstract

"The talk aims to revisit some known mathematical notions using Wronskian determinants(of a linear system on a compact Riemann Surface or of a basis of solutions of a linear ODE with constant coefficients) as a pair of colored glasses. From Schubert Calculus for Grassmannian varieties to Universal  Linear ODE with constant coefficients  up to the so called Boson-Fermion correspondence as it arises in the representation theory of infinite dimensional Lie algebras.                                  

Using these particular spectacles, one may realize that the correspondence by Bose and Fermi is nothing else than the Jacobi-Trudy formula for generalized Wronskians (Wronski-Schubert calculus) associated to a fundamental system of solution to a linear ODE of infinite order.                                     
             
Based on a joint work with Inna Scherbak (Tel Aviv University)."