We cordially invite you to attend the KSE Mathematics Seminar on the topic “Contractions of Lie algebras”

Speaker: Maryna Nesterenko (Vice Chair for Research at Department of Mathematics)

When: January 28, 16:30-17:30

Where: KSE Dragon Capital Building, 3 M. Shpaka St., ARZINGER Classroom 4.5

A contraction of a Lie algebra is a limiting procedure that transforms one Lie algebraic structure into another. Such transformations play an important role in mathematical physics, as they provide systematic links between different physical theories, describe symmetry reductions, and arise naturally in the analysis of invariant differential equations.

In this talk, I will present several definitions of Lie algebra contractions and discuss criteria for their existence, including new results. We will analyze the Hasse diagrams describing contraction relations among low-dimensional and nilpotent Lie algebras over the real and complex fields, obtained in our recent investigations. In addition, I will present an algorithm for constructing generalized Inönü–Wigner contractions and illustrate the approach with a number of explicit examples.

About the Speaker:

Maryna is a researcher in Lie theory and its applications to mathematical physics. She holds Ph.D. and Dr.Sc. degrees from the Institute of Mathematics of the National Academy of Sciences of Ukraine and has held postdoctoral positions at the Université de Montréal and the Erwin Schrödinger International Institute. She has taught at leading Ukrainian universities and is actively involved in mathematics outreach. She is a recipient of several awards, including the President of Ukraine’s Prize for Young Scientists and the L’Oréal–UNESCO Prize for Women in Science.

We look forward to an engaging discussion and hope to see you there.