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Introductory Workshop in Topological Aspects of Real Algebraic Geometry
Jan 12, 2004 to Jan 16, 2004

Organizer(s)

Selman Akbulut, Grisha Mikhalkin, Victoria Powers, Boris Shapiro, Frank Sottile, and Oleg Viro
Closed
Note: Registration for this event is closed.

Contact

The topological study of real algebraic varieties originated in the 19th century -- it was featured in Hilbert's 16th problem on the classification of real algebraic plane curves. This subject has recently grown in many directions, including higher dimensional real varieties, amoebas and tropical algebraic geometry, J-holomorphic curves from symplectic geometry, and enumerative real algebraic geometry. Some of these developments have led to advances important to applications and to the problem of real solutions to polynomial equations, including algorithms. This introductory workshop will feature survey lectures intended to introduce these topics and convey their interdependence to the mathematical public.

This program will include the following talks.

  • Oleg Viro: Topology of real algebraic curves
  • Grisha Mikhalkin and Bernd Sturmfels: Tropical algebraic geometry and amoebas.
  • Frank Sottile: Enumerative problems and real solutions to equations.
  • Lalo Gonzalez-Vega: Real algebraic geometry in industry
Note: Registration for this event is closed.

Important

Schedule
Monday, January 12, 2004
9:00AM - 10:00AM Oleg Viro Topology of Real Algebraic Varieties I
10:30AM - 11:30AM Henry King "Nash and beyond: putting real algebraic structures on topological objects"
2:00PM - 3:00PM Johannes Huisman "Uniruled real algebraic 3-folds" I
3:30PM - 4:30PM Frank Sottile "Real solutions to polynominal equations and enumerative real algebraic geometry"
Tuesday, January 13, 2004
9:00AM - 10:00AM Oleg Viro Topology of Real Algebraic Varieties II
10:30AM - 11:30AM Frank Sottile "Upper bounds in enumerative real algebraic geometry"
2:00PM - 3:00PM Johannes Huisman "Uniruled real algebraic 3-folds" II
3:30PM - 4:30PM Grigory Mikhalkin "Introduction to tropical geometry"
Wednesday, January 14, 2004
9:00AM - 10:00AM Oleg Viro Topology of Real Algebraic Varieties III
10:30AM - 11:30AM Bernd Sturmfels "The positive part of a tropical variety"
Thursday, January 15, 2004
9:00AM - 10:00AM Oleg Viro Topology of Real Algebraic Varieties IV
10:30AM - 11:30AM Severine Fiedler "Topology of real flexible and real algebraic curves"
2:00PM - 3:00PM Frank Sottile "Lower bounds in enumerative real algebraic geometry"
Friday, January 16, 2004
2:00AM - 3:00AM Sanjay Lall TBA
9:00AM - 10:00AM Laureano Gonzalez-Vega "Real agebraic geometry in industry"
10:30AM - 11:30AM Richard Kenyon "Dimers and Harnack curves"
3:30PM - 4:30PM Clinton McCrory "Topology of real algebraic sets in dimension four"
Parent Program(s):
Topological Aspects of Real Algebraic Geometry


Questions about this workshop should be sent either by email to
252@msri.org

or by regular mail to:
Introductory Workshop in Topological Aspects of Real Algebraic Geometry
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

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