60LB Geometry and Singularities - 60th anniversary of Lev Birbrair

16.07.2023 - 22.07.2023 | Będlewo

60LB Geometry and Singularities - 60th anniversary of Lev Birbrair

The present conference is organised in honour of prof. Lev Birbrair on the occasion of his 60th birthday. The main topics will be:

  • Lipschitz Geometry of Singularities,
  • Real Algebraic Geometry,
  • Algebraic Theory of Singularities,
  • Geometry and Topology.

Lev Birbrair was one of the first mathematicians to work on the classification of semi-algebraic sets up to bi-Lipschitz equivalence. He pointed out three natural approaches of Lipschitz classification: with respect to the inner (geodesic) metric, the outer metric, and ambient Lipschitz classification. His first and very important contribution is the theory of Hölder complexes giving a complete Lipschitz classification of semi-algebraic surface germs with respect to the inner metric. Together with T. Mostowski he introduced the notion of Lipschitz Normal Embedding which became very important in recent research. Together with A. Fernandes he discovered two very interesting phenomena: fast loops and separating sets whose existence is a serious obstruction for metrical conicalness of complex surface germs. Using the fast loop technique Birbrair, Fernandes and Neumann showed that the germs of surfaces can be ambient topological equivalent, but not inner bi-Lipschitz equivalent. Next, Birbrair, Neumann and Pichon obtained a complete description of the inner Lipschitz geometry of germs of normal surfaces, called a refined thick and thin decomposition which is a complete bi-Lipschitz invariant with respect to the inner metric. The most recent contribution of Lev Birbrair in Lipschitz Geometry is the creation of Metric Knot Theory together with A. Gabrielov.

We definitely plan the events to take place onsite, but consider also the possibility of installing a hybrid meeting allowing partial participation online should the situation require this.

The registration is now officially open. Please note that the accomodation costs amount to 300 euros (subject to exchange rates changes, the cost in Polish currency is 1440PLN; the hotel provides all the meals). At this moment we cannot guarantee any financial support.

Confirmed invited speakers (the list will be updated): Juan José Nuño Ballesteros, Javier Fernandez de Bobadilla, Andrei Gabrielov, Zbigniew Jelonek, Krzysztof Kurdyka, Adam Parusiński, Maria Pe Pereira, Anne Pichon

You may contact the organisers using the official conference e-mail: 23-birbrair60@impan.pl

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