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[Lecture] Dynamic Systems Seminar—Commuting vector fields in dimension 3

DEC . 10 2018
Title: Dynamic Systems SeminarCommuting vector fields in dimension 3

Time: 15:10-16:10, Dec. 10, 2018, Monday

Venue: Room 525, No. 2 Teaching Building

Speaker: Dr.Sebastien Alvarez (Universidad de la Republica, Uruguay)

Abstract: It is an open problem to determine when an action of R^k on a given manifold has a fixed point. When k=1 the index theory of Poincaré-Hopf give a tool to localize zeros of vector fields. Such a theory does not exist in higher dimension. In dimension 2, Lima proved that an action of R^k on a closes surface of nonzero Euler characteristic always has a fixed point. The speaker will speak about recent work in the 3-dimensional case. This is joint work with C.Bonatti and B.Santiago.

Edited by: Guo Xinyu

Source: School of Mathematical Sciences