Complex Analysis Seminar (Seminario de Análisis Complejo) - UAM 

Our small seminar meets as often as possible, sometimes in a joint session with other groups (Real Analysis or Geometry) or as minicourses on various topics of interest. The usual seminar time is on Fridays at 10:30, in Room 520, Department of Mathematics. For most seminars below, the abstract also contains the  announcement (including the room number and other data).
Seminars held so far and/or scheduled:


Upcoming seminars (some of the dates indicated are tentative and may vary, e.g., a Friday seminar could be rescheduled to a Wednesday afternoon):
Thursday, May 24, 2018: [14:30] María José MARTÍN (UAM): On the harmonic Möbius transformations
Friday, May 11, 2018: Jukka TUOMELA (University of Eastern Finland, Joensuu) Navier-Stokes on manifolds
Thursday, May 3, 2018: Dragan VUKOTIC (UAM): Weighted composition operators: an axiomatic approach
Friday, April 20, 2018: Antti PERÄLÄ (BGSMath-Universitat de Barcelona
): Duality of holomorphic Hardy type tent spaces

Monday, February 26, 2018: [12:00] Rodrigo HERNÁNDEZ (Universidad Adolfo Ibáñez, Chile) Sobre el problema de univalencia de la función primitiva de (f')^\alpha con f univalente (On the problem of univalence of the primitive function of (f')^\alpha with f univalent)

Wednesday, June 28, 2017 [12:00]: Irina ARÉVALO (UAM): Prelectura de tesis (Lecture previous to thesis defense) Operadores de composición ponderados entre espacios y clases de funciones analíticas (Weighted composition operators between spaces and classes of analytic functions)
Wednesday, May 31, 2017 [11:30]: Iason EFRAIMIDIS (UAM): Prelectura de tesis (Lecture previous to thesis defense) Dos conjeturas sobre los coeficientes de las funciones univalentes (Two conjectures on the coefficients of univalent functions)
Wednesday, May 10, 2017 [9:45-10:30]: Alexandru ALEMAN (Lund University, Sweden): A factorization theorem for Hilbert spaces with reproducing kernel (2 hours)
Friday, February 17, 2017: Daniel ESTÉVEZ (UAM): Generación de álgebras de funciones analíticas y separación de singularidades (Generation of algebras of analytic functions and separation of singularities)
Friday, February 3, 2017: María José MARTÍN (University of Eastern Finland, Joensuu): Criterios para la acotación de la valencia de funciones armónicas (Criteria for bounds for the valence of harmonic functions)
Wednesday, December 21, 2016: [12:00-12:50] Iason EFRAIMIDIS (UAM): La conjetura de Bombieri sobre las funciones univalentes (On Bombieri's conjecture on univalent functions)
Thursday, October 27, 2016: Iason EFRAIMIDIS (UAM): Sobre las funciones armónicas de tipo Bloch (On harmonic functions of Bloch type)
Friday, September 30, 2016: Irina ARÉVALO (UAM) Semigrupos de operadores de composición y operadores de Volterra en espacios de norma mixta (Semigroups of composition and Volterra operators in mixed-norm spaces)

Wednesday, December 16, 2015: [15:00-16:45] Pekka NIEMINEN (University of Helsinki, Finland), Short course (2 hours), Aleksandrov-Clark measures and composition operators 
Friday, December 11, 2015: [10:00] Riikka SCHRODERUS (University of Helsinki, Finland), The spectra of linear fractional composition operators on weighted Dirichlet spaces 
Tuesday, November 24, 2015: [15:00-16:45] Ignacio URIARTE-TUERO (Michigan State University, East Lansing, MI, USA), Short course (2 hours): Weighted inequalities and some applications to quasiconformal maps
Friday, November 20, 2015Aristomenis SISKAKIS (Aristotle University, Thessaloniki, Greece)Short course (2 hours): Integration operators on spaces of analytic functions
Friday, November 6, 2015: Arturo FERNÁNDEZ (UNED = National Open University, Madrid, Spain), On the meromorphic functions in the punctured plane without multiple values   (slides)
Friday, October 23, 2015María José MARTÍN (University of Eastern Finland, Joensuu): Sobre las soluciones de la ecuación de Euler incompressible (On the  solutions of Euler's incompressible equation)

F, July 17, 2015: Iason EFRAIMIDIS (UAM): Sobre las desigualdades de Livingston para los coeficientes de las funciones con la parte real positiva (On Livingston's coefficient inequalitiesfor functions with positive real part)
W, June 10, 2015: Hans-Olav J. TYLLI (University of Helsinki, Finland): Rigidity of composition operators on Hp-spaces [Rm. 420, 11:30] 
W, May 27, 2015: Daniel SECO (University of Warwick, England, UK): Ciclicidad de polinomios en dos variables (Cyclicity of polinomials in two variables)
Th, May 14, 2015: Anton BARANOV (Saint Petersburg State University, Russia) Spectral synthesis for systems of exponentials and reproducing kernels (Room change: 102, Mod. 17).
F, March 27, 2015: Irina ARÉVALO (UAM) Espacios de norma mixta de funciones analíticas en el disco (Mixed-norm spaces of analytic functions in the disk) 
F, November 28, 2014: Karl-Mikael PERFEKT (NTNU, Trondheim, Norway)  On duality, distance and compact operators in spaces with supremum-type norms
F, October 10, 2014: Pekka NIEMINEN (University of Helsinki, Finland) Composition operators on BMOA

Tuesday, July 15, 2014: Rodrigo HERNÁNDEZ (Universidad Adolfo Ibáñez, Chile) Criterios de univalencia para mapeos armónicos
Wednesday, July 9, 2014: María José MARTÍN (University of Eastern Finland, Joensuu) On certain linear invariant families of harmonic mappings
Friday, July 4, 2014: Aristomenis SISKAKIS (Aristotle University, Thessaloniki, Greece) On mean Lipschitz spaces
July 1--7,2014 (Minicourse): Kristian SEIP (NTNU, Trondheim, Norway): Function Theory on the polydisk
     - Part I, Tuesday, July 1, 2014 (11:00-13:00): BASICS OF DIRICHLET SERIES AND FUNCTION THEORY IN THE POLYDISC. Pointwise estimates, Hilbert’s inequality, Boundary values, Zero sets, interpolating sequences
     - Part II, Thursday, July 3, 2014 (11:00-13:00): OPERATOR THEORY ON HARDY SPACES OF DIRICHLET SERIES.Helson’s Riesz projection, Riesz projection onto H2, Multiplier algebras, Hankel forms, Composition operators
     - Part III, Monday, July 7, 2014 (15:00-17:00): INTERACTION WITH NUMBER THEORY. The Sidon constant for Dirichlet polynomials, Norm estimates consistent with conjectures for moments of the Riemann zeta function, GCD sums and matrices.
May 5--7,2014 (Minicourse): Alexandru ALEMAN (Lund University, Sweden): Invariant subspaces for the shift operator (preliminary working title),
two 90' lectures during the class meetings of Advanced Course in Analysis (Master's Program)
     - Part I, Monday, May 5, 2014: Three examples: invariant subspaces of multiplication, Volterra, and shift operators. Theorems of Wiener, Donoghue, and Beurling. 
Wold decomposition. Hereditary inequalities. 
     - Part II, Wednesday, May 7: Two-isometries. Invariant subspaces on the Dirichlet space.
Shimorin's proof of the Aleman-Richter-Sundberg theorem for Bergman spaces.
Friday, April 11, 2014: Gerardo R. CHACÓN (Pontificia Universidad Javeriana, Bogotá, Colombia): Espacios de Bergman con Exponente Variable (Bergman spaces with variable exponents)        abstract    slides
Thursday, December 12, 2013Janne HEITTOKANGAS (University of Eastern Finland, Joensuu, Finland): On Blaschke-oscillatory and Blaschke-critical differential equations            abstract
Thursday, October 17, 2013: Peter L. DUREN (University of Michigan, Ann Arbor, USA): The Schwarzian norm and distortion of conformal mappings
Friday, October 4, 2013: Dragan VUKOTIC (UAM):
Extremal problems for non-vanishing analytic functions     abstract
Friday, September 6, 2013Miroljub JEVTIC (University of Belgrade, Serbia), Informal presentation of the book draft "Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-type Spaces"

Friday, April 26, 2013: Alicia CANTÓN PIRÉ (Univ. Politécnica de Madrid), Valores asintóticos de aplicaciones cuasirregulares    abstract
Friday, March 15, 2013: María José MARTÍN GÓMEZ (UAM), Aplicaciones armónicas univalentes en el plano   abstract    slides
Friday, March 1, 2013: Jesús MUNÁRRIZ ALDAZ (UAM), The centered Hardy-Littlewood maximal operator in high dimensions   abstract   slides
February 1, 2013: Carl COWEN (IUPUI, Indianapolis, IN, USA & Universidad Complutense de Madrid)
Some Old and Some New Thoughts on Commutants of Analytic Multiplication Operators     abstract     slides
December 21, 2012 (Informal minicourse): Dragan VUKOTIC (UAM) Acerca de la conjetura de Krzyz

June 25-28, 2012 (Minicourse): Anna-Maria PERSSON (Lund University, Sweden): Spectral properties of the Cesàro operator acting on various spaces of analytic functions    SLIDES
- Part I (June 25): introduction, spectrum of the Cesàro operator in  various function and sequence spaces.
- Part II (June 28): Presentation of various technical details of proofs. Generalizations to various functional Banach space.
June 1, 2012 (Jointly with the Analysis Seminar): Ignacio URIARTE-TUERO (Michigan State University, East Lansing, MI, USA) Two-weight inequality for the Hilbert transform: A real variable characterization
May 21-23, 2012 (Minicourse): Ignacio 
URIARTE-TUERO (Michigan State University, East Lansing, MI, USA) Desigualdades con pesos (Weighted norm inequalities)
    - Part I (May 21): Introducción a técnicas de dos pesos para el operador maximal de Hardy-Littlewood. Un trabajo de Sawyer de 1982.
    - Part II (May 23): Introducción a las aplicaciones cuasiconformes. Demostración de la desigualdad con pesos utilizada en la solución de la conjetura de Astala (trabajo conjunto con Michael Lacey y Eric Sawyer).
May 7-9, 2012 (Minicourse): Aristomenis SISKAKIS (Aristotle University, Thessaloniki, Greece) The Hilbert Matrix Operator on Spaces of Analytic Functions     SLIDES
    - Part I: (May 07, 2012) :Introduction. The Hilbert matrix on Hardy spaces. The Hilbert matrix on Bergman spaces. Some representations.
    - Part II (May 09, 2012): The point spectrum on Hardy spaces. Generalized Hilbert operators.
March 2, 2012: David SHOIKHET (The Galilee Research Center for Applied Mathematics, ORT Braude College, Israel) Old and New in Complex Dynamical Systems
February 24, 2012: Rodrigo HERNÁNDEZ REYES (Universidad Adolfo Ibáñez, Viña del Mar, Chile; UAM) La derivada pre-Schwarziana para mapeos armónicos del plano y el criterio de Becker

January 26, 2012 (Informal seminar): José A. BONET SOLVES (Univ. Politécnica de Valencia) Operadores de derivación e integración en espacios ponderados de funciones enteras

June 10, 2011: Daniel Estévez (UAM) Localización de ceros de funciones racionales y el estudio de la calidad de un regulador óptimo lineal cuadrático
April 28--29, 2011 (Minicurso): Daniel Girela (Universidad de Málaga) Medias integrales de funciones univalentes y sus derivadas
February 25, 2011: María José Martín (UAM) Estabilidad de familias de funciones armónicas univalentes
February 18, 2011: Sebastián Lajara (Universidad de Castilla - La Mancha) Sobre los módulos de convexidad y diferenciabilidad
February 15--17, 2011 (Minicurso): Rodrigo Hernández (Universidad Adolfo Ibáñez, Viña del Mar, Chile) y María José Martín (UAM) 
Aplicaciones armónicas univalentes.     ProgramaDerivada Schwarziana para las funciones analíticas localmente univalentes. Criterios de univalencia de tipo Nehari. Funciones armónicas univalentes: la definición de la Schwarziana a través del levantamiento a las superficies mínimas (Chuaqui, Duren y Osgood). Estabilidad de las funciones armónicas univalentes. Resultados recientes y problemas abiertos. Nueva definición de la Schwarziana para una clase más amplia de funciones armónicas, desde el punto de vista analítico. Primeras propiedades y problemas abiertos
February 11, 2011: Marta Llorente (UAM, Facultad de Económicas) Un algoritmo para el cálculo de medidas tipo Hausdorff
January 14, 2011: Rodrigo Hernández (Universidad Adolfo Ibáñez, Viña del Mar. Chile) La derivada Schwarziana en una y varias variables
December 20, 2010: Pavel Gumenyuk (University of Bergen, Norway;  Universidad de Sevilla, Spain) Loewner Theory: new approach to a classical topic

June 24, 2010: Willy Sierra Arroyo (Universidad Pontificia Católica de Chile, Santiago de Chile) Dominios de John sobre una clase de superficies mínimas
June 10, 2010:
Anton Baranov (Saint Petersburg State University) Truncated Toeplitz operators: existence of bounded symbols
June 4, 2010: María Auxiliadora Márquez (Universidad de Málaga) Operadores de superposición entre espacios Qp y espacios de Hardy
June 4, 2010: Dragan Vukotic (UAM) Operadores de superposición entre espacios de funciones analíticas: introducción, motivación y algunos resultados recientes