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Workshop

Viro's patchworking and the signed reduced A- discriminant

  • Máté László Telek (University of Copenhagen, Denmark)
E1 05 (Leibniz-Saal)

Abstract

Computing the isotopy type of a hypersurface, defined as the positive real zero set of a polynomial, is a challenging problem in real algebraic geometry. For a fixed signed support, that is, for fixed exponent vectors and signs of the coefficients of the polynomial, the signed reduced -discriminant divides the coefficient space into chambers such that in each chamber the isotopy type of the hypersurfaces is constant. Within outer hambers the isotopy type of the hypersurface can be described by a olyhedral object. However, hypersurfaces associated with inner chambers might have isotopy types, which are more difficult to describe. In this talk, will discuss properties of the signed support that preclude the existence of such inner chambers of the signed reduced A-discriminant.

conference
29.07.24 02.08.24

MEGA 2024

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Felix-Klein-Hörsaal

Mirke Olschewski

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Christian Lehn

Ruhr-Universität Bochum

Irem Portakal

Max Planck Institute for Mathematics in the Sciences

Rainer Sinn

Universität Leipzig

Bernd Sturmfels

Max Planck Institute for Mathematics in the Sciences

Simon Telen

Max Planck Institute for Mathematics in the Sciences

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