Home /  Topology and Geometry of Real Algebraic Varieties


Topology and Geometry of Real Algebraic Varieties February 23, 2004 - February 27, 2004
Registration Deadline: February 27, 2004 over 20 years ago
To apply for Funding you must register by: November 23, 2003 over 20 years ago
Parent Program:
Organizers Viatcheslav Kharlamov, Boris Shapiro, and Oleg Viro

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The topological study of real algebraic varieties originated in work of Harnack, Klein, and Hilbert in the late 19th century on real algebraic plane curves. Current interest involves many different, but interacting topics including real algebraic varieties in higher dimensions, real J-holomorphic curves and real symplectic geometry, enumerative real algebraic geometry, constructions of varieties with prescribed topology, amoebas, and tropical algebraic geometry. The aim of the workshop is to highlight these developments under the general title of Topology and geometry of real algebraic varieties. A (preliminary) list of invited speakers includes: F. Catanese (Bayreuth) A. Eremenko (Purdue) C. Viterbo (Orsay) C. McCrory (Athens, GA) G. Mikhalkin (Salt Lake City, St.Petersburg) S. Orevkov (Toulouse) M. Passare (Stockholm) J. Welschinger (Lyon) The conference will also include shorter talks by others.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Feb 23, 2004
08:00 AM - 05:00 PM
  Real analogs of Hurwitz numbers
Boris Shapiro (Royal Institute of Technology)
08:00 AM - 05:00 PM
  Applications of topology and geometry to matrices
S. Friedland
08:00 AM - 05:00 PM
  Arf-invariants of links and congruences for real algebraic curves
Patrick Gilmer
08:00 AM - 05:00 PM
  The geometry of real space curves
Johannes Huismann
08:00 AM - 05:00 PM
  Polygon spaces
Jean-Claude Hausmann
08:00 AM - 05:00 PM
  Geometry of lagrangian submanifolds
Claude Michel Viterbo
08:00 AM - 05:00 PM
  A tropical computation of the Weischinger invariant
Eugenii Shustin
08:00 AM - 05:00 PM
  Topology of real tropical varieties
Ilia Itenberg (Institut de Mathématiques de Jussieu - Paris Rive Gauche)
08:00 AM - 05:00 PM
  Isotoping submanifolds to subvarieties
Henry King
08:00 AM - 05:00 PM
  Real Lefschetz pencils and genus bounds for membranes
Sergei Finashin
08:00 AM - 05:00 PM
  Spinor states of real rational curves in real algebraic convex 3-manifolds and enumeratice invariants
Jean-Yves Welschinger
08:00 AM - 05:00 PM
  Topology and Geometry of Real Algebraic Varieties
Grigory Mikhalkin (Université de Genève)
08:00 AM - 05:00 PM
  A weight filtration for real algebraic varieties
Clint McCrory
08:00 AM - 05:00 PM
  Convex-concave hypersurfaces in real projective spaces
Dmitry Novikov
08:00 AM - 05:00 PM
  Cohomology characteristics of real algebraic varieties
Igor Kalinin
08:00 AM - 05:00 PM
  On several classical enumerative problems in algebraic geometry
Maxim Kazarian
08:00 AM - 05:00 PM
  On braid monodromy monoid
Stepan Orevkov
08:00 AM - 05:00 PM
  Real Fano 3-folds
Janos Kollar
08:00 AM - 05:00 PM
  Real alegebraic morphisms on 2-dimensional conic bundles
Frederic Mangolte
08:00 AM - 05:00 PM
  The amoeba of a discriminant
Timur Sadykov
08:00 AM - 05:00 PM
  Galois equivariant intersection homology
Joost van Hamel