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Organizado por M. Emi Alonso (UCM), Carlos Andradas (UCM), Antonio Díaz-Cano (UCM), M. Jesús de la Puente (UCM), M. Pilar Vélez (UNEBRIJA), M. Ángeles Zurro (UAM)


  • Fechas:

    Del 21/06/19 al 22/06/19

  • Lugar:

    facultad de ciencias matemáticas, ucm, Madrid, España (mapa)

Web del evento

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Workshop MEGAR
Métodos Efectivos en Geometría Algebraica Real / Effective Methods in Real Algebraic Geometry

Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid
June 21-22, 2019

The workshop "Métodos Efectivos en Geometría Algebraica Real" (i.e. Effective Methods in Real Algebraic Geometry), MEGAR for short, will take place at the same venue and immediately after the end of MEGA (Effective Methods in Algebraic Geometry), June 17-21, 2019, Universidad Complutense de Madrid, Spain. We have chosen the acronym MEGAR in recognition of the importance of effective methods in real geometry, from the origins of real algebra to the multiple emerging applications of real geometry.

The motivation for  holding this MEGAR workshop is manifold, but can be focused on the 40 year celebration of  the first visit of D. W. Dubois to Madrid, a foundational moment for the creation of the Spanish Real Algebraic Geometry research community.

Due to the short period of  time, the  MEGAR workshop will comprise mainly invited talks; a few general  general talks and the rest of short talks distributed in four parallel Special Sessions about the following topics: A: Topology of real algebraic sets, B: Semialgebraic sets and o–minimal structures, C: Sums of squares, positivity and optimization and D: Computational real algebraic geometry and its applications. Additionally, submitted contributions in form of  poster presentation.

There is no specific registration fee for MEGAR, nor it is required to attend MEGA in order to participate in MEGAR. We encourage all those interested in the Workshop to register as soon as possible on the website


or send an email to


declaring your interest to take part in  MEGAR.

Invited speakers:

Confirmed speakers (at this moment): Alex Degtyarev, Bernard Mourrain, Cordian Riener, Daniel Perrucci, Elías Baro, Grigory Mikhalkin, Ilia Itenberg, Josef Schicho, Josué Tonelli-Cueto, Krzysztof KurdykaLaureano González-Vega, M. Françoise Roy, Markus Schweighofer, Michel Coste, Sergey Finashin, Tomás Recio, Wojciech Kucharz.

Important dates:

Deadline for submissions of posters:

   April 25, 2019 (Extended until May 24)

Notification of acceptance of posters:

   May 31, 2019

Posters: authors who wish to present a poster, should submit an extended abstract (in a free format) that should contain an outline of the main contributed ideas, results and proofs.

The posters, to be printed on A1, will be exhibited during most of the conference, and during a poster session the authors will have the opportunity to discuss their work with the conference participants.

Submissions: Submissions of posters should contain recent original research relevant to ANY aspects of real algebraic and analytic geometry  including  foundational issues, theoretical and computational contributions, practical issues and applications. Of course, submissions highlighting Effective Methods in Real Algebraic and Analytic Geometry are specially welcome, but MEGAR topics are not restricted to these.

Acceptance of a submitted contribution means acceptance for poster presentation only.


Lodging: All the participants in MEGAR, up to the ones invited to speak in some of the sessions by the organization, should arrange the lodging by themselves.


However, there are a limited number of rooms available in (graduate) Student Residences at the Campus area. The organization will manage these reservations, and preference will be given to PhD students and Post-doc. Prices in these residences do not exceed 50 eur in single room with bath. In case you are interested, register in the web page of the workshop and ask it to the contact address megar@ucm.es


Organizing Committee:

M. Emi Alonso (Universidad Complutense de Madrid)
Carlos Andradas (Universidad Complutense de Madrid)
Antonio Díaz-Cano (Universidad Complutense de Madrid)
M. Jesús de la Puente (Universidad Complutense de Madrid)
M. Pilar Vélez (Universidad Antonio Nebrija)
M. Ángeles Zurro (Universidad Autónoma de Madrid)
Organized by: Instituto de Matemática Interdisciplinar (IMI), Grupo UCM "Geometría Algebraica y Analítica Real" font-size: 12.8px;">  

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File of abstracts



Friday 21st

15:00 - 15:30    Registration

15:30 - 16:00  Welcome

16:00 - 16:30 Opening: "...Que 40 años no es nada! (40 years is nothing!)", T. Recio


16:30 - 17:00    -- Coffee Break --


17:00 - 18:00    Plenary talk: "Subresultant polynomials and their recent applications to quantitative aspects of Hilbert 17 th

                                                         problem and the Fundamental Theorem of Algebra", M.F. Roy

18:00 - 18:45   Parallel Session B: “Numerical Computation of Homology Groups of Closed Semialgebraic Sets”,

                                                             J. Tonelli-Cueto

                          Parallel Session C: "Quadrature Rules and their Geometry", C. Riener

18:45 - 19:30  Parallel Session B: "Exponential convexifying of polynomials", K. Kurdyka

                          Parallel Session C: "Measures from moments", B. Mourrain


20:30- 22:00 Social dinner: Restaurante Sal Gorda, c/ Beatriz de Bobadilla, 9, 28040-Madrid



Saturday 22nd


09:30 - 10:30     Plenary Talk: “Finite real algebraic curves”,  I. Itenberg

10:30 - 11:30     -- Coffee Break color: rgb(34, 34, 34); display: inline; float: none; font-family: Arial,Verdana,sans-serif; font-size: 12px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;">                                                         M. Schweighofer

15:45 - 16:30    Parallel Session B: “Rings of differentiable semialgebraic functions”, E. Baro

                         Parallel Session C: “A version of Putinar's Positivstellensatz for cylinders”, D. Perruci

16:30 - 17:00       -- Coffee Break --

17:00 - 17:45    Parallel Session A: “Tritangents to sextic curves via Niemeier lattices”, A. Degtyarev

                         Parallel Session D: “Compactification of the group of rigid motions and applications to robotics”, M. Coste

17:45 - 18:15 Closing


Parallel session A: "Topology of real algebraic sets"

Parallel session B: "Semialgebraic sets and o-minimal structures, Nash functions"

Parallel session C: "Sums of squares, positivity and optimization"

Parallel session D: "Computational real algebraic geometry and its application"


Ponentes ↑ subir

Elías Baro (Universidad Complutense de Madrid)
Michel Coste (Université de Rennes I)
Alex Degtyarev (Bilkent University)
Sergey Finashin (Middle East Technical University)
Laureano González-Vega (Universidad de Cantabria)
Ilia Itenberg (Institut de Mathématiques de Jussieu)
Wojciech Kucharz (Jagiellonian University)
Krzysztof Kurdyka (Université Savoie Mont Blanc)
Grigory Mikhalkin (Université de Genève)
Bernard Mourrain (Inria Sophia Antipolis - Méditerranée)
Daniel Perruci (Universidad de Buenos Aires)
Tomas Recio (Universidad de Cantabria)
Cordian Riener (The Arctic University of Norway)
M. Françoise Roy (Université de Rennes I)
Josef Schicho (University of Linz)
Markus Schweighofer (Universität Konstanz)
Josue Tonelli-Cueto (Technische Universität Berlin)

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