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Schedule for: 21w5117 - Real Polynomials: Counting and Stability (Online)

Beginning on Sunday, October 17 and ending Friday October 22, 2021

All times in Oaxaca, Mexico time, CDT (UTC-5).

Monday, October 18
08:00 - 08:20 Introduction and Welcome (Online)
08:20 - 09:10 Petter Braenden: Stable polynomials and related families of polynomials (Online)
09:10 - 09:30 Questions and break (Online)
09:30 - 10:20 Frédéric Bihan: Fewnomial bounds and multivariate generalisations of Descartes’ rule of signs. (Online)
10:20 - 10:40 Questions and break (Online)
10:40 - 11:30 Thorsten Theobald: Conic stability of polynomials, imaginary projections and spectrahedra (Online)
11:30 - 12:00 Questions and group photo (Online)
Tuesday, October 19
08:00 - 08:40 Boris Shapiro: Return of the plane evolute (Online)
08:40 - 09:00 Questions and break (Online)
09:00 - 09:40 Cristhian Garay López: Inflection polynomials of linear series on superelliptic curves (Online)
09:40 - 10:00 Questions and break (Online)
10:00 - 10:40 Mareike Dressler: Real zeros of sums of nonnegative circuit polynomials (Online)
10:40 - 11:00 Questions and break (Online)
11:00 - 11:40 Cynthia Vinzant: Log-concavity and applications to approximate counting and sampling in matroids (Online)
11:40 - 12:00 Questions (Online)
12:00 - 12:30 Free discussions (Online)
Wednesday, October 20
08:00 - 08:40 Claus Scheiderer: Low-complexity semidefinite representation of convex hulls of curves (Zoom)
08:40 - 09:00 Questions and break (Zoom)
09:00 - 09:40 El Hilany Boulos: A polyhedral description for the non-properness set of a polynomial map (Zoom)
09:40 - 10:00 Questions and break (Zoom)
10:00 - 10:40 Mario Kummer: Matroids with the half-plane property and related concepts (Zoom)
10:40 - 11:00 Questions and break (Zoom)
11:00 - 11:40 Papri Day: Real Degeneracy Loci of Matrices, and Hyperbolicity cones of Real Polynomials (Zoom)
11:40 - 12:00 Questions and break (Zoom)
12:00 - 12:30 Discussion, possibly including future topics of the field (Zoom)
Thursday, October 21
08:00 - 08:40 Mahsa Sayyary Namin: Imaginary Projections: Complex Versus Real Coefficients (Zoom)
08:40 - 09:00 Questions and break (Zoom)
09:00 - 09:40 Mauricio Velasco: Harmonic hierarchies for polynomial optimization (Zoom)
09:40 - 10:00 Questions and break (Zoom)
10:00 - 10:40 Josephine Yu: Positively Hyperbolic Varieties, Tropicalization, and Positroids (Zoom)
10:40 - 10:50 Questions (Zoom)
10:50 - 11:05 Máté László Telek: On generalizing Descartes' rule of signs to hypersurfaces (Zoom)
11:05 - 11:20 Abeer Al Ahmadieh: Determinantal Representations and the Image of the Principal Minor Map (Zoom)
11:20 - 11:35 Cédric Le Texier: Hyperbolic plane curves near the non-singular tropical limit (Zoom)
11:35 - 11:50 Josué Tonelli-Cueto: Metric restrictions on the number of real zeros (Zoom)
11:50 - 12:00 Questions (Zoom)
12:00 - 12:30 Free discussions (Zoom)
Friday, October 22
08:00 - 08:40 Khazhgali Kozhasov: The many faces of polynomial capacity (Zoom)
08:40 - 09:00 Questions and break (Zoom)
09:00 - 09:40 Simone Naldi: Spectrahedral representations of hyperbolic plane curves (Zoom)
09:40 - 10:00 Questions and break (Zoom)
10:00 - 10:40 J. Maurice Rojas: Counting Pieces of Real Near-Circuit Hypersurfaces Faster (Zoom)
10:40 - 11:00 Questions and break (Zoom)
11:00 - 11:40 Lucia Lopez de Medrano: On maximally inflected hyperbolic curves (Zoom)
11:40 - 12:00 Questions and Goodbye (Zoom)
12:00 - 12:30 Free discussions (Zoom)