Martín Sombra: talks

 

Here are the slides and/or the presentations of some talks about my work:
Grazie Sara!
    1. Toric equidistribution revisited, talk at the conference Combinatorial sinergies in geometry and number theory at IMPA, Rio de Janeiro, Brazil, March 2025
    2. The mean height of the solution set of a system of polynomial equations, talk at the conference Symbolic and numerical algorithms in algebraic geometry at Buenos Aires, Argentina, December 2021
    3. The zero set of the independence polynomial of a graph [presentation], talk at the Seminario del CMaLP at La Plata, Argentina, November 2021
    4. The mean height of the solution set of a system of polynomial equations [presentation], talk at the Number theory web seminar, September 2021
    5. A Macaulay formula for the sparse resultant, talk at the congress MCA 2021 at Buenos Aires, Argentina, July 2021
    6. The zero set of the independence polynomial of a graph, talk at the Felipe Fest at Berlin, Germany, August 2019
    7. Measuring the solution set of a system of polynomial equations, talk at the BGSMath María de Maeztu unit of excellence closing workshop, UB, June 2019
    8. Macaulay style formulae for the sparse resultant, talk at the ARCADES Doctoral School II and ESR Days in Barcelona, UB, September 2018
    9. Where do the little points go?, plenary talk at the conference RSME-UMA, Buenos Aires, December 2017
    10. La distribution des orbites de Galois des points algébriques, short course at the CIMPA Research School "Géométrie complexe et applications", Ziguinchor, Senegal, 2017
    11. Factorization of sparse polynomials, talk at the FoCM 2017 Workshop on Computational Algebraic Geometry, Barcelona, July 2017
    12. Macaulay style formulae for the sparse resultant, plenary talk at the conference MEGA 2017, Nice, France, June 2017.
    13. Systems of polynomial equations, Colloquium of the Department of Mathematics of the U. La Plata, Argentina, December 2016.
    14. El que diuen els nombres, Xerrades-Taller de la Facultat de Matemàtiques, UB, November 2015
    15. Polynomials with multiple factors, unlikely intersections, and osculating spaces of toric curves, GEOMAP coordination meeting, Sitges, January 2015
    16. Point-hypersurface incidences, FoCM 2014, Montevideo, Uruguay, December 2014
    17. En matemática, ¿ya está todo inventado?, charla para alumnos de 1ro y 2do de bachillerato en el Institut Puig Castellar, Santa Coloma de Gramenet, Noviembre 2014
    18. The distribution of the Galois orbits of small points in toric varieties, talk at the Intercity seminar in Arakelov geometry, Roma, September 2014
    19. Arithmetic geometry ot toric varieties, talk at the conference XXVèmes rencontres arithmétiques de Caen, Île de Tatihou, France, June 2014
    20. Bounds for the Hilbert function of polynomial ideals [presentation], talk at the workshop Tools from algebraic geometry, IPAM UCLA, USA, March 2014
    21. The number of solutions of a system of polynomial equations [presentation], talk at the workshop Combinatorial geometry problems at the algebraic interface, IPAM UCLA, USA, March 2014
    22. En matemática, ¿ya está todo inventado?, charla para alumnos de 1ro y 2do de bachillerato en el Espai Cultural Centric, El Prat del Llobregat, Noviembre 2013
    23. Essential minimum and distribution of small points in toric varieties, Thue 150, Bordeaux, France, October 2013
    24. Overdetermined systems of sparse polynomial equations, MEGA 2013, Frankfurt, Germany, June 2013
    25. Solving polynomial equations, Colloquium of the Dipartamento di Matematica, Politecnico di Torino, Italy, May 2013
    26. Normalized resultants, CLAM 2012, Córdoba, Argentina, August 2012
    27. Geometría de Arakelov de variedades tóricas, Universidad Católica de Valparaíso, Chile, August 2012
    28. Overdetermined systems of lacunary equations, EACA 2012, Alcalá de Henares, June 2012
    29. En matemática... ¿ya está todo inventado?, charla para alumnos de 1ro y 2do de bachillerato de la escola Garbí, Esplugues de Llobregat, Mayo 2012 
    30. Quantitative equidistribution for the solutions of systems of sparse polynomial equations (slides & talk by C. D'Andrea), SIAM Conference on Applied Algebraic Geometry, Raleigh, USA, October 2011
    31. A toric dictionary in arithmetic geometry, Toric geometry and applications, Leuven, Belgium, June 2011
    32. Height of varieties in multiprojective spaces and arithmetic Nullstellensätze (slides & talk by T. Krick), Heights, Tossa de Mar, April 2011
    33. Variedades tóricas en geometría aritmética, Congreso del Centenario de la RSME, Ávila, February 2011
    34. Aritmética de variedades tóricas y análisis convexo, Coloquio del Departamento de Matemática, Universidad de Buenos Aires, Argentina, November 2010
    35. Height of varieties and arithmetic Nullstellensatz (slides & talk by C. D'Andrea), EACA 2010, Santiago de Compostela, July 2010
    36. On the distribution of the solutions of systems of polynomial equations, MEGA 2009, Barcelona, June 2009
    37. Varietats algebraicas i politops de Newton, Onzena Trobada de la Societat Catalana de Matemàtiques, Institut d'Estudis Catalans, Barcelona, June 2008
    38. Computing the Newton polygon of offsets to plane algebraic curves (slides & talk by C. D'Andrea), FoCM 2008, Hong Kong, China, June 2008
    39. Polítopos de Newton y el número de soluciones de un sistema de ecuaciones polinomiales, Coloquio del Departamento de Matemática, Universidad de Buenos Aires, Argentina, November 2007  
    40. A refinement of the Kushnirenko-Bernshtein theorem (talk & slides by P. Philippon), Diophantine and Analytic Problems in Number Theory - The 100th aniversary of A. O. Gelfond, Moscow State University, Russia, February 2007 
    41. Bézout theorem and implicitization (slides & talk by C. D'Andrea), Non-Linear Computational Geometry, IMA, Minneapolis, USA, June 2007  
    42. On the size of the solution set of sparse polynomial systems, FoCM 2005, Universidad de Cantabria, Santander, July 2005
    43. Height of projective varieties, Plenary talk at MEGA 2003, Kaiserslautern, Germany, June 2003
    44. Affine varieties: degree, height, and complexity, Postdoc Seminar, MSRI, Berkeley, USA, September 1998

Last update: 19 November 2014