BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Computing fundamental invariants and equivariants of a finite grou
 p action - Evelyne Hubert (INRIA Sophia Antipolis)
DTSTART:20240124T100000Z
DTEND:20240124T110000Z
UID:TALK208060@talks.cam.ac.uk
DESCRIPTION:For a finite group\, we present an algorithm to compute a gene
 rating set of invariant simultaneously to generating sets of basic equivar
 iants\, i.e.\, equivariants for the irreducible representations of the gro
 up. The main novelty resides in the exploitation of the orthogonal complem
 ent of the ideal generated by invariants\; Its symmetry adapted basis deli
 vers the fundamental equivariants. Fundamental equivariants allow to assem
 ble symmetry adapted bases of polynomial spaces of higher degrees\, and th
 ese are essential ingredients in exploiting and preserving symmetry in com
 putations. They appear within algebraic computation and beyond\, in physic
 s\, chemistry and engineering.\nThis is joint work with Erick Rodiguez Baz
 an published as:\nE. Hubert &&nbsp\; E. Rodriguez Bazan. Algorithms for fu
 ndamental invariants and equivariants (of finite groups)\;&nbsp\; Mathemat
 ics of Computation\, volume 91 number 337 pages 2459-2488 (2022) [doi:10.1
 090/mcom/3749]
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR