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Mathematical Center in Akademgorodok and the Section of Geometry and Topology of DMM NSU are inviting to attend an online seminar "Geometry, Topology and Their Applications" on May 11 at 14:00 Novosibirsk time (UTC+7). The seminar chair is Academician of RAS I.A. Taimanov.

Invariant geometry on nilmanifolds and narrow Lie algebras

D.V. Millionshchikov
(Moscow State University, Steklov Mathematical Institute, Moscow, Russia)

The problems of invariant geometry on a nilmanifold G/螕 can be reduced to studying the corresponding algebraic structures on a nilpotent Lie algebra g, which corresponds to the one-connected nilpotent Lie group G. As nilpotent Lie algebras we will consider the so-called narrow positively graded Lie algebras g = 鈯� g_i , dim g_i 鈮� 2. We will focus on left-invariant: 1) symplectic structures; b) affine structures and c) complex structures on G/螕, and discuss the various classification lists of narrow positively graded Lie algebras that arose during such research.

To take part in the seminar, join a conference in Zoom at  on May 11 after 13:45 Novosibirsk time (UTC+7).
 
Conference ID: 930 5452 3453
Password: 029556