Haitian
Scientific Society Seminar
Series
Saturday April 29, 2023
12:45-2:30
Zoom-Link: https://umassboston.zoom.us/j/93139842515
Flexibility and rigidity in contact and symplectic
geometry
Oleg Lazarev
Department of Mathematics, University of Massachusetts Boston
Abstract:
I will give
an overview of contact and symplectic geometry, which
is the geometry of classical Newtonian mechanics and discuss some
motivating examples from day-to-day life, including parallel parking (a
difficult problem in Boston!) and light caustics seen in the bottom of coffee
cups. Then I will discuss modern developments, which include proofs
of existence of periodic orbits of large classes of physical systems (that
cannot be solved explicitly), distinguishing rigid symplectic
structures on the same smooth space, and flexible constructions of new symplectic structures.
Bio: Professor Lazarev was trained at Princeton
University: A.B in Mathematics Summa cum laude (2012), and at Stanford
University: PhD (2017. At Princeton, he received two coveted prizes: Middleton Miller ‘29 Prize for
independent research and the Sigma Xi Book Award for Outstanding Research.
His main fields of research are Symplectic Geometry
and Symplectic Topology. His current project concerns
“Critical symplectic geometry” a new approach that he
introduced in previous work with Sylvan and Tanaka. This is an extremely
ambitious initiative that bridges several different areas of mathematics: rigid
and flexible symplectic geometry, Floer
homotopy theory and classical homotopy
theory, higher algebra, and dynamical systems. His research has been supported
by the NSF since 2012. He is a world leader in these fields and has published
consequential works in some of the best peer-reviewed journals. He lectures
extensively in the US and abroad. He was hired as Assistant Professor in the Mathematics
Department in 2021 after completing an NSF Postdoctoral Fellowship at Columbia
University and a Simons Postdoctoral Fellowship at Harvard University.
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ALFRED NOEL is inviting you to a scheduled Zoom meeting.
Topic: HSS Seminar series
Time: Apr 29, 2023 12:45 PM Eastern
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Meeting ID: 931 3984 2515
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