Title: Ear decompositions of graphs: an unexpected tool in Combinatorial Commutative Algebra

Speaker: Ngo Viet Trung, Institute of Mathematics, Vietnam Academy of Science and Technology

Date/Time: Thursday, 26th September, 4:00-5:00pm

Venue: 5101

Abstract:

Ear decomposition is a classical notion in Graph Theory. It has been shown in [1, 2] that this notion can be used to solve difficult problems on homological properties of edge ideals in Combinatorial Commutative Algebra. This talk presents the main combinatorial ideas behind these results.

Introduction of the speaker:

Ngo Viet Trung is a professor at the Institute of Mathematics, Vietnam Academy of Science and Technology. He earned a PhD degree from Martin-Luther University Halle-Wittenberg, Germany in 1978. He was a research fellow of the International Matsumae Foundation of Japan and the Alexander von Humboldt Foundation of Germany. In 2007-2013 he was director of the Institute of Mathematics, Vietnam Academy of Science and Technology. In 2013-2018 he served first as a member and then as chair of TWAS Membership Advisory Committee in Mathematical Sciences. In 2016-2018 he was a member of TWAS Election Committee. He has published several papers in leading mathematical journals such as Inventiones Mathematicae, Advances in Mathematics, Mathematische Annalen and is well-known for his contributions to the interactions between algebra, combinatorics and geometry. In 2017 he was awarded Ho Chi Minh Prize, the highest prize of Vietnam for his achievements and contributions to the development of science. In 2018-2023, he was the president of Vietnam Mathematical Society. He is currently the chair of the Scientific Committee of the National Foundation for Science and Technology.

[1] H.M. Lam and N.V. Trung, Associated primes of powers of edge ideals and ear decompositions of graphs, Trans. AMS 372 (2019)

[2] H.M. Lam, N.V. Trung, and T.N. Trung, A general formula for the index of depth stability of edge ideals, Trans. AMS, to appear.