Yakov Eliashberg: Flexibility in symplectic topology and its complex geometric ramifications
Flexibility in symplectic topology and its complex geometric ramifications.
Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!
V cetrtek, 29. septembra ob 11. uri in 15 minut, pa po prof. Eliashberg predaval v okviru matematicnega kolokvija.
Title: Symplectic topology: from Poincare to Arnold and Gromov, and beyond.
Abstract: Symplectic topology was conceived by Henri Poincaré as a tool to answer qualitative problems of Classical Mechanics. The so-called “last geometric theorem” of Poincaré, proven by G. Birkhoff in 1912 after Poincaré’s death, can be viewed as the first result of symplectic topology. But the further development had to wait till the late 1960s, when V.I. Arnold formulated his famous conjectures. With the introduction by M. Gromov in 1985 of his famous method of pseudo-holomorphic curves in symplectic manifolds the subject began unravelling with an exponential speed. In the talk I will discuss the subject and methods of symplectic topology in their historical development from the work of Henri Poincaré to our days.
The colloquium speaker, prof. Yakov Eliashberg of Stanford University, is a prominent mathematician and one of the pioneers in the field of symplectic and contact geometry and topology. He also worked in the field of complex and especially Stein geometry and in several other branches of Mathematics. Eliashberg published 79 original research publications, including several acclaimed monographs. He is the recipient of many important international prizes. In 2001 he was awarded the Oswald Veblen prize in Geometry from the AMS for his work in symplectic and contact topology, in particular for his proof of the symplectic rigidity and the development of 3-dimensional contact topology. In 2013 he received the Heinz Hopf prize from ETH Zurich. In 2016 he was awarded the Crafoord Prize from The Royal Swedish Academy of Sciences for the development of contact and symplectic topology and groundbreaking discoveries of rigidity and flexibility phenomena. Eliashberg is a member of the National Academy of Sciences in USA.
Kolokvij bo v predavalnici 2.01 na Jadranski 21. Vljudno vabljeni!
Vodji seminarja
Josip Globevnik in Franc Forstneric
