Dr. Oliver Fabert Ich bin (noch) Mitglied der Arbeitsgruppe Differentialgeometrie und Topologie . Das kommende Wintersemester 2009/10 werde ich als Postdoctoral Fellow am Mathematical Sciences Research Institute (MSRI) an der University of California in Berkeley verbringen, und danach mein Stipendium am Max-Planck-Institut in Leipzig antreten. Meine Email-Adresse ist 'Vorname.Name 'at' math.lmu.de'. Ich bin Mitarbeiter am DFG-Projekt "Punctured holomorphic curves in symplectic geometry". Gerade helfe ich Kai mit der Organization des Workshop on Symplectic Field Theory IV. Seit 1. Mai 2005 war ich Doktorand bei Professor Kai Cieliebak . Am 21. Februar 2008 habe ich meine Doktorarbeit eingereicht und am 2. Mai 2008 erfolgreich verteidigt. Meine Doktorarbeit (Februar 2008): Transversality Results and Computations in Symplectic Field Theory. Interessensschwerpunkte: Pseudoholomorphe Kurven in symplektischer Geometrie und Kontaktgeometrie, geometrische Quantenfeldtheorien. Multiskalenanalyse in der Geodäsie. Forschungsschwerpunkte: Symplektischen Feldtheorie (SFT) und Integrable Systeme Transversalitätsprobleme in der SFT, speziell: Obstruktionsbündelmethoden Symplektische Feldtheorie für den Abbildungstorus und Kreisbündel Berechnungen von Kontakthomologie + (rationaler) SFT Meine Diplomarbeit (Dezember 2004): Product Operations on Floer Homology and Symplectic Field Theory

Lehre:

Im Sommersemester 2009 betreue ich das 2. Seminar zum Thema "Knotentheorie". Meine Sprechstunde ist Do, 15-16.

Publikationen und Preprints:

Fabert, O. and P. Rossi: Topological recursion relation in symplectic field theory. in preparation.

Fabert, O.: Gravitational descendants in symplectic field theory. ArXiv preprint (0907.0789), 2009.

Schmidt, M., O. Fabert: Ellipsoidal Wavelet Representation of the Gravity Field. Ohio State University Report 487, 2008.

Fabert, O.: Counting trivial curves in rational symplectic field theory. ArXiv preprint (0709.3312), 2007.

Fabert, O.: Contact Homology for Hamiltonian mapping tori. Comm. Math. Helv. 85, 2010.

Schmidt, M., O. Fabert, C.K. Shum: On the Estimation of a Multi-Resolution Representation of the Gravity Field Based on Spherical Harmonics and Wavelets. Journal of Geodynamics 39, pp. 512-526, 2005.

Schmidt, M., J. Kusche, J.P. van Loon, C.K. Shum, S.C. Han, O. Fabert: Multiresolution Representation of a Regional Geoid from Satellite and Terrestrial Gravity Data. in: Gravity, Geoid and Space Missions 2004, IAG Symposia, vol. 129, Springer, 2005.

Schmidt, M., O. Fabert, C.K. Shum: Towards the Estimation of a Multi-Resolution Representation of the Gravity Field Based on Spherical Wavelets. in: A Window on the Future of Geodesy, IAG General Assembly 2003, IAG Symposia, vol. 128, Springer, 2005.

Fabert, O.: Effiziente Wavelet Filterung mit hoher Zeit-Frequenz-Aufloesung. Publikationen der Deutsche Geodaetische Kommission, Reihe A, No. 119, C.H. Beck, Muenchen, 2004.
ISBN: 3 7696 8199 1

Fabert, O., M. Schmidt: Wavelet Filtering with High Time-Frequency Resolution and Effective Numerical Implementation Applied on Polar Motion. Artificial Satellites 38(1), pp. 3-14, 2003.

Kommende Vortragstermine:

Vorträge:

A TQFT approach to Gromov-Witten theory and (quantum) integrable systems. Oberseminar Geometrie und Analysis, Augsburg, 13.05.2009.

Symplectic field theory of closed geodesics and integrable systems. Seminar "Symplect'X", Paris, 03.04.2009.

SFT and integrable systems (beyond the circle bundle case). Oberseminar Geometrie WS08/09 (Prof. Dr. J. Jost), Max-Plank-Institut für Mathematik in den Naturwissenschaften, Leipzig, 22.01.2009.

SFT + integrable systems (beyond circle bundles). Oberseminar Geometrie WS08/09 (Prof. D. Kotschick, Prof. K. Cieliebak), LMU München, 25.11.2008.

Trivial curves, obstruction bundles and the action filtration in SFT. Symplektisches Seminar FS08 (Prof.D. Salamon), ETH Zürich, 31.03.2008

Trivial Curves in Symplectic Field Theory. Workshop New Applications and Generalizations of Floer Theory, Banff (Kanada), 17.05.2007 (Foto)

Symplectic field theory for trivial mapping tori. Floer-Homologie-Seminar (K.Mohnke), Berlin, 21.02.2007.

Counting trivial curves in rational symplectic field theory. Brussels-Cologne Joint Seminar (F.Bourgeois, H.Geiges), Brüssel, 29.01.2007.

What is ... a Field Theory ? Zurich Graduate School Colloquium WS06/07, ETH und Uni Zürich, 19.12.2006

Floer Homology in Symplectic Field Theory. Symplektisches Seminar WS06/07 (Prof.D. Salamon), ETH Zürich, 6.11.2006

Counting Trivial Curves in Symplectic Field Theory. Oberseminar Geometrie WS06/07 (Prof. D. Kotschick, Prof. K. Cieliebak), LMU München, 17.10.2006.

(with M. Schmidt) Ellipsoidische Wavelet-Theorie. Geodätische Woche, INTERGEO 2006, Neue Messe München, 11.10.2006

Symplectic Field Theory for Mapping Tori. International Conference on Global Differential Geometry, Münster, Germany, 14.-19.8.2006.

Contact Homology for Hamiltonian Mapping Tori. Oberseminar Geometrie SS06 (Prof. D. Kotschick, Prof. K. Cieliebak), LMU München, 2.5.2006.

Floer Homology and Symplectic Field Theory. Oberseminar Geometrie SS05 (Prof. D. Kotschick, Prof. K. Cieliebak), LMU München, 10.5.2005.

(with Schmidt, M., J. Kusche, C.K. Shum, S.-C. Han) Multi-Resolution Representation of Regional Gravity Data Sets. 1st EGU General Assembly, Nice, France, 26.-30.4.2004.

(with Schmidt, M., S.-C. Han, C.K. Shum) Gravity Field Determination Using Multi-Resolution Techniques. 2nd International GOCE User Workshop, ESA, Esrin, Italy, 8.-10.3.2004.

High-Resolution Regional Gravity Model. Geodetic seminar, TU Delft, Netherlands, 5.12.2003.

Regularization Using Spherical Wavelets. Oberseminar Mathematische Physik ( LS Prof. Siedentop ), LMU München, 25.04.2003 (Vortrag)

(with Schmidt, M., C.K. Shum) On the Estimation of a Multi-Resolution Representation of the Gravity Field Based on Spherical Harmonics and Wavelets. AGU - EGU Joint Assembly, Nice, France, 6.- 11.04.2003 (Poster)

(with M. Schmidt) Regional Equipotential Surfaces from Satellite and Regional Terrestrial Data Using Multiresolution Analysis. AGU - EGU Joint Assembly, Nice, France, 6.- 11.04.2003 (Vortrag)

An Effective Filtering Method with High Time-Frequency Resolution - Extraction of the Chandler Wobble. Lehrveranstaltung 'Present Research in Advanced Geodesy' ( Prof. H. Schuh ), TU Wien, 19.03.2003 (Vortrag)

Regularisierende sphärische Wavelets - Regionale Äquipotentialflächen aus Satellitendaten und regionalen terrestrischen Daten. IAPG Oberseminar ( Prof. Rummel, Prof. Rothacher ), TU München, 17.02.2003 (Vortrag)

(with Schmidt, M., C.K. Shum) Multi-Resolution Representation and Estimation of the Gravity Field Using Spherical Wavelets. AGU 2002 Fall Meeting, San Francisco, U.S.A., 6.- 10.12.2002 (Poster)

(with M. Schmidt) A Wavelet Filterbank for High Resolution Signal Decomposition - Extraction of the Chandler Wobble. Weikko A. Heiskanen Symposium, Columbus, Ohio, U.S.A., 1.- 4.10.2002 (Poster)

A Wavelet Filterbank for High Resolution Signal Decomposition - Extraction of the Chandler Wobble. Group Meeting ( Prof. C.K. Shum ), The Ohio State University, Columbus, Ohio, U.S.A., 18.09.2002 (Vortrag)

(with H. Schmitz-Hübsch, M. Schmidt) Chandler and Annual Wobble determined by Wavelet Filtering. EGS XXVII General Assembly, Nice, France, 22.- 26.04.2002 (Poster)

High Resolution Wavelet Filtering. EGS XXVII General Assembly, Nice, France, 22.- 26.04.2002 (Poster)

Adresse:

Mathematisches Institut der Universität München
Theresienstr. 39
D-80333 München

Email: Vorname.Name 'at' math.lmu.de

Tel:   +49 (0)89   2180 4624
Fax:  +49 (0)89   2180 4648
Büro: Block B, 3. Stock, 348

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