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Spectral analysis and pseudodifferential operators



COORDINATORS:
Viorel Iftime, Gheorghe Nenciu.

HISTORY:
The seminar has been initiated in 1985 at the Faculty of Mathematics and Computer Science of the University of Bucharest, by a group of researchers and PhD students coordinated by Vladimir Georgescu (at the time senior researcher at the Department of Theoretical Physics of the National Institute of Physics and Nuclear Engineering in Bucharest - Magurele, now Directeur de Recherches CNRS at the Cergy-Pontoise University) and by Viorel Iftimie (professor at the Faculty of Mathematics and Computer Science of the University of Bucharest).

The aim of the seminar was the study of quantum Hamiltonians and their scattering theory. After May 1990, the seminar has been organized constantly by the Institute of Mathematics of the Romanian Academy.

Among the people active in this seminar during its existence let us cite: Gruia Arsu, Ingrid Beltita, Horia Cornean, Sylvain Golenia, Andrei Iftimovici, David Krejcirik, Horia Manda, Nicolae Mandache, Marius Mantoiu, Petre Mironescu, Mihai Pascu, Teodor Octavian Popp, Radu Purice, Radu Teodor.

Among the guests that gave several talks in the seminar let us cite: Yves Dermenjian, Pierre Duclos, Pavel Exner, Bernard Helffer, Arne Jensen.

PRESENT ACTIVITY:
  • A series of lectures on The Melin calculus on homogeneous Lie groups, following two papers by P. Glowacki has been given by Mihai Pascu. (Seminar notes)

  • Development of the magnetic pseudodifferential calculus and its applications for the Foldy-Wouthuysen transformation and the Peierls-Onsager effective Hamiltonian.



--- On September 30, 2013, Arne Jensen from Aalborg University
gave the talk: Resolvent expansion for the discrete one dimensional Schrödinger operator .

--- On August 7, 2013, Ashkan Nikeghbali from University of Zürich
gave the talk: Random permutations and prime numbers .

--- On March 27, 2013, M.W. Wong from York University, Toronto
gave the talk: Hilbert-Schmidt and Trace Class Pseudo-Differential Operators on the Heisenberg Group.

--- On January 1, 2013, Christof Sparber from University of Illinois at Chicago
gave the talk: On Wigner and Bohmian measures in semi-classical quantum dynamics.
The presentation can be found here.

--- On May 30, 2012, 2012, Jose E. Gale from Universidad de Zaragoza
gave the talk: A Poisson-to-Neumann characterization of fractional powers of operators.

--- On October 24 - 27, 2011, Atle Hahn from Lisbon University
gave the Lecture Series on Mathematical Physics.

--- On May 11, 2011, Francesco Fidaleo from Universita di Roma Tor Vergata
gave the talk: Harmonic analysis on perturbed Cayley trees and the Bose Einstein condensation.

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