Gröbner's Problem and the Geometry of GT-Varieties

Liena Colarte-Gómez is an assistant professor at the Institute of Mathematics of the Polish Academy of Science. Her expertise comprises syzygies of projective varieties, tensor rank, and tensor rank decomposition. Liena obtained her Ph. D. and Master's in Mathematics from the University of Barcelona. She has published several articles in high-quality journals. Under international competition, she has been awarded two visiting research fellowships from ACRI and Ferran Sunyer i Balaguer foundations at the University of Genoa and the University of Napoli Federico II.Rosa M. Miró-Roig is professoer at the University of Barcelona working in  Algebraic Geometry and Comutative Algebra. She has published more than  159 articles; this includes papersin the Advances in Mathematics, Trans AMS, Mathematische Annalen, Journal für die reine und angewandte Mathematik, Compositio Mathematica and Memoirs of the AMS. She has been advisor of 12 Ph. D. Students and mentored many postdocs. She has been Managing Editor of Collectanea Mathematica (2005- 2021), and she is Associated editor of Beiträge zur Algebra und Geometrie, Journal of Commutative Algebra, Mathematics and Vietnam Journal of Mathematics. In 2007 she won the Ferran Sunyer i Balaguer prize, in 2023 she has been nominated  EMS Distinguished Speaker 2023 and this year she got Premi Rosa Argelaguet i Isanta prize.

• - Introduction.- Algebraic Preliminaries.- Invariants of finite abelian groups and aCM projections of Veronese varieties. Applications.- The geometry of 𝑮−varieties.- Invariants of finite groups and the weak Lefschetz property.- Normal bundle of RL-varieties.