The seminars are broadcast Tuesdays at 13:00 UTC (9 am New York, 2 pm London, 3 pm Paris, 9 pm Beijing, 10 pm Tokyo) on Zoom.
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Next talk
The next talk will be 13:00 UTC (2 pm London),
30 April 2024
John King (University of Nottingham, UK)
Complex-plane analysis of a quasilinear parabolic PDE
Abstract
I'll apply a combination of formal asymptotic methods and applied complex analysis (notably the dynamics of complex singularities) to give some insight into the qualitative and quantitative behaviour of some non-integrable PDEs. This raises some unresolved (to me) issues of more general relevance about the complex-plane behaviour of nonlinear ODEs, about which I shall ask.
Upcoming talks
7 May 2024. John Ryan (University of Arkansas, USA)
14 May 2024. Aletta Jooste (University of Pretoria, South Africa)
Future speakers
Allal Ghanmi (Mohammed V University, Morocco)
Sheehan Olver (Imperial College London, UK)
Leslie Ward (University of South Australia)
Previous talks
23 April 2024.
Thomas Kecker (University of Portsmouth, UK)
Geometric approach for quasi-Painlevé Hamiltonian systems
12 March 2024.
Lasse Asikainen (University of Eastern Finland)
A new proximity function estimate on the quotient of the difference and the derivative of a meromorphic function
05 March 2024.
Jonathan R. Partington (University of Leeds)
Composition operators on spaces of analytic functions
19 December 2023.
Eva A. Gallardo Gutiérrez (Universidad Complutense de Madrid, and
Instituto de Ciencias Matemáticas, Spain)
The Cesàro operator: shift semigroups and invariant subspaces
12 December 2023.
Faouzi Thabet (University of Gabès, Tunisia)
Trajectories of Particular Quadratic Differentials on the
Riemann Sphere
28 November 2023.
Guang-Yuan Zhang (Tsinghua University, China)
The precise form of Ahlfors' Second Fundamental Theorem of covering surfaces
14 November 2023.
Liz Vivas (Ohio State University, USA)
Bergman spaces in Riemann surfaces
07 November 2023.
Robert Buckingham (University of Cincinnati, USA)
Asymptotics of Rational Painlevé V Functions
31 October 2023.
Luna Lomonaco (IMPA, Brazil)
Mating quadratic maps with the modular group
24 October 2023.
Tobin Driscoll (University of Delaware, USA)
AAA for rational interpolation on continuua
17 October 2023.
Marco Fasondini (University of Leicester, UK)
Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation
10 October 2023.
Melkana Brakalova-Trevithick (Fordham University, USA)
On one-quasiconformality at a point and the integrable subspaces of the universal Teichmüller space
30 May 2023. Cinzia Bisi (Ferrara University, Italy)
Invariants and automorphisms of slice regular functions
23 May 2023. Navneet Lal Sharma (Gati Shakti Vishwavidyalaya, India)
Estimates of logarithmic coefficients for certain classes of univalent functions
09 May 2023. Vladimir Petrov Kostov (Université Côte d'Azur, CNRS, LJAD, France)
Analytic properties of the partial theta function
02 May 2023. Alexander Solynin (Texas Tech University, USA)
Quadratic differentials in complex analysis and beyond
25 April 2023. Thu Hien Ngyuen (Leipzig University, Germany & V. N. Karazin Kharkiv University, Ukraine)
Some results on entire functions from the Laguerre-Pólya class: proof ideas and techniques
21 March 2023. Ragnar Sigurðsson (University of Iceland)
Hörmander's existence theory for the Cauchy-Riemann equations in one complex variable with applications to classical problems in complex approximation theory
14 March 2023. Michel Zinsmeister (Université d'Orléans, France)
Coullet-Tresser Cascade of Bifurcations in the logistic Family and Hausdorff Dimension of real quadratic Julia Sets
07 March 2023. Sayani Bera (Indian Association for the Cultivation of Science, Kolkata)
Attracting basins of non-autonomous families
28 February 2023. Alan Sokal (University College London, UK)
Motion of zeros of polynomial solutions of the one-dimensional heat equation: A first-order Calogero-Moser system
21 February 2023. Andrei Martinez-Finkelshtein (Baylor University, USA and University of Almería, Spain)
On the flow of zeros of derivatives of polynomials
14 February 2023. Adolfo Guillot (National Autonomous University of Mexico)
Meromorphic vector fields on algebraic surfaces having univalent solutions
07 February 2023. Ian Short (Open University, UK)
Iterated function systems in holomorphic dynamics
31 January 2023. Jonatan Lenells (KTH Royal Institute of Technology, Sweden)
On Boussinesq's equation for water waves
24 January 2023. Anna Vishnyakova (V. N. Karazin Kharkiv National University, Ukraine
and Holon Institute of Technology, Israel)
Necessary and sufficient conditions for entire functions to belong to the Laguerre-Polya class
17 January 2023. Mohamed Nasser (Wichita State University, USA)
A boundary integral method for the Riemann-Hilbert problem on multiply connected domains
10 January 2023. Marta Kosek (Jagiellonian University, Poland)
On some limits in the theory of Julia sets
29 November 2022. Jasmin Raissy (Université de Bordeaux, France)
Spiralling domains in dimension 2
15 November 2022. Argyris Christodoulou (Aristotle University of Thessaloniki, Greece)
Generalising the Denjoy-Wolff theorem
08 November 2022. Yang Chen (University of Macau)
Laguerre Unitary Ensembles with Multiple Discontinuities, PDE, and
the Coupled Painlevé V System
01 November 2022. Jianhua Zheng (Tsinghua University, China)
Classification of Baker domains of meromorphic functions
18 October 2022. Maurice Kenfack Nangho (University of Dschang, Cameroon)
A characterization of Askey-Wilson polynomials: proof of a conjecture by Mourad Ismail
11 October 2022. Darren Crowdy (Imperial College London, UK)
Water waves with vorticity and the Schwarz function
04 October 2022. Toshiyuki Sugawa (Tohoku University, Japan)
A semigroup of holomorphic self-maps of a convex domain and its resolvents
27 September 2022. Tamara Grava (University of Bristol, UK and SISSA, Italy)
The Stieltjes-Fekete problem and degenerate orthogonal polynomials
20 September 2022. James Waterman (Stony Brook University, USA)
Maverick points on the boundary of wandering domains
28 June 2022. Fiana Jacobzon (ORT Braude College of Engineering, Israel)
An `inverse Fekete-Szegö problem' and filtration of generators
21 June 2022. Jane Hawkins (University of North Carolina, USA)
Doubly periodic Julia and Fatou sets for iterated meromorphic functions:
dynamics on unbounded components
14 June 2022. Elias Wegert (Technische Universität Bergakademie Freiberg, Germany)
Numerical range, Blaschke products and Poncelet polygons
07 June 2022. Heather Wilber (University of Texas at Austin, USA)
Low rank numerical methods via rational function approximation
31 May 2022. Clare Dunning (University of Kent, UK)
Polynomials and partitions
24 May 2022. Roger Barnard (Texas Tech University, USA)
On sharp bounds for ratios of k-balanced hypergeometric functions
17 May 2022. Peter Baddoo (Massachusetts Institute of Technology, USA)
Understanding interacting aerofoils with complex analysis
10 May 2022.
Irina Markina (University of Bergen, Norway)
Evolution of Smooth Shapes and Integrable Systems
03 May 2022.
Daniel Girela (Universidad de Málaga, Spain)
On BMOA and the Bloch space, normal functions, and pointwise multipliers
26 April 2022.
David Martí-Pete (University of Liverpool, UK)
Wandering domains in transcendental dynamics: topology and dynamics
05 April 2022.
Adi Glücksam (Northwestern University, USA)
The combinatorial method for stopping time arguments
29 March 2022.
Rajitha Ranasinghe (University of Peradeniya, Sri Lanka)
The power of the Askey-Wilson operator in generating summation identities
22 March 2022.
Duc Quang Si (Hanoi National University of Education, Vietnam)
Second main theorems for meromorphic mappings into projective varieties and arbitrary families of hypersurfaces
15 March 2022.
Lasse Rempe (University of Liverpool, UK)
A counterexample to Eremenko's Conjecture
08 March 2022.
Dan Nicks (University of Nottingham, UK)
Iterating the minimum modulus
01 March 2022.
Arno Kuijlaars (Katholieke Universiteit Leuven, Belgium)
S-curves and critical measures on a Riemann surface
15 February 2022.
Kathy Driver (University of Cape Town, South Africa)
Interlacing of zeros of Laguerre polynomials
08 February 2022. Joan Lind (University of Tennessee, USA)
The Loewner equation with complex-valued driving functions
01 February 2022. Alastair Fletcher (Northern Illinois University, USA)
Cantor sets and Julia sets
18 January 2022. Anna Miriam Benini (Università di Parma, Italy)
Birfurcations in families of meromorphic maps
11 January 2022. Peter Miller (University of Michigan, USA)
Rational solutions of the Painlevé-IV equation with large parameters
14 December 2021. Adri Olde Daalhuis (University of Edinburgh, UK)
Asymptotics and complex analysis
07 December 2021. Loredana Lanzani (Syracuse University, USA)
The Cauchy-Szegö projection and its commutator for domains in C^n with minimal smoothness
30 November 2021. Olubunmi A. Fadipe-Joseph (University of Ilorin, Nigeria)
The sigmoid function in geometric function theory
23 November 2021. Thierry Meyrath (University of Luxembourg, Luxembourg)
On covering properties of non-normal families of meromorphic functions
16 November 2021. Peter Clarkson (University of Kent, UK)
Special polynomials associated with the Painlevé equations
09 November 2021.
Vladimir Mityushev (Cracow Technological University, Poland)
Riemann-Hilbert problem for a multiply connected domain and its applications to the effective properties of 2D random composites
02 November 2021. Leticia Pardo-Simón (University of Manchester, UK)
The maximum modulus set of an entire function
26 October 2021. Zeinab Mansour (Cairo University, Egypt)
Lidstone expansions of entire functions
19 October 2021. Zhi-Tao Wen (Shantou University, China)
Difference radical in terms of shifting zero and applications to the Stothers-Mason theorem
12 October 2021. Jörg Winkelmann (Ruhr-Universität Bochum, Germany)
On the existence of dense entire holomorphic curves in
rationally connected manifolds
05 October 2021. Istvan Prause (University of Eastern Finland)
Probabilistic limit shapes and harmonic functions
28 September 2021. Yilin Wang (Massachusetts Institute of Technology, USA)
Loewner-Kufarev energy and foliations by Weil-Petersson quasicircles
21 September 2021. Kirill Lazebnik (University of Toronto, Canada)
Transcendental Julia sets of minimal Hausdorff dimension
14 September 2021. Chris Bishop (Stony Brook University, USA)
Fast conformal mapping via computational and hyperbolic geometry
06 July 2021.
Walter Van Assche (KU Leuven, Belgium)
Hermite-Padé approximation to two functions with branch points
29 June 2021.
Mikhail Sodin (Tel Aviv University, Israel)
Translation-invariant probability measures on entire functions
22 June 2021.
Jujie WU (Sun Yat-Sen University, China)
Weighted L^2 polynomial approximation in C
15 June 2021.
Vasiliki Evdoridou (Open University, UK)
Wandering on the boundary
08 June 2021.
Galina Filipuk (University of Warsaw, Poland)
Aspects of nonlinear differential equations
(no recording is available for this talk)
01 June 2021.
Martin Chuaqui Farrú (Pontificia Universidad Católica de Chile)
Ahlfors' Schwarzians for curves
25 May 2021. Luka Boc Thaler (University of Ljubljana, Slovenia)
Everything you always wanted to know about Long C^n
18 May 2021. Dmitry Khavinson (University of South Florida, USA)
Algebra and PDE: some less traveled paths connecting them
11 May 2021. Margaret Stawiska-Friedland (American Mathematical Society/Mathematical Reviews, USA)
A potential-theoretic characterization of polynomials in holomorphic dynamics in one variable
04 May 2021. Oliver Roth (University of Würzburg, Germany)
A new Schwarz-Pick Lemma at the boundary and rigidity of holomorphic maps
27 April 2021. Chiara de Fabritiis (Università Politecnica delle Marche, Italy)
*-products, *-exponential, *-logarithm: some peculiarities of slice regular functions on the quaternions
20 April 2021. Yueyang Zhang (University of Science and Technology Beijing, China)
On the entire function $e^{p(z)}\int_0^{z}\beta(t)e^{-p(t)}dt$ with applications to Tumura--Clunie equations and complex dynamics
30 March 2021. Sushil Gorai (Indian Institute of Science Education and Research Kolkata)
Polynomial convexity and real surfaces with singularity
23 March 2021. Risto Korhonen (University of Eastern Finland)
Delay differential equations and Nevanlinna theory
16 March 2021. Chengfa Wu (Shenzhen University, China)
Elliptic functions and their applications in complex differential equations
9 March 2021. Caterina Stoppato (Università di Firenze, Italy)
Regularity in one hypercomplex variable
2 March 2021. Paweł Wójcicki (Warsaw University of Technology, Poland)
On an invariant distance induced by the Szegö kernel and its applications
23 February 2021. Igor Chyzhykov
(University of Warmia and Mazury, Poland / Lviv Ivan Franko National University, Ukraine)
Irregular solutions of complex linear differential equations in the unit disc
16 February 2021. Maria Demina (National Research University Higher School of Economics, Russia)
Algebraic invariants, integrability, and meromorphic solutions
09 February 2021. Linda Keen (City University of New York, USA)
Parameter spaces of families of transcendental functions
02 February 2021. Konstantin Dyakonov (ICREA and Universitat de Barcelona, Spain)
Lacunary polynomials in L^1: geometry of the unit sphere
26 January 2021. Mikhail Tyaglov (Shanghai Jiao Tong University, China)
Non-real zeroes of a homogeneous differential polynomial and generalisations of the Laguerre and Newton inequalities
19 January 2021. Mónica Moreno Rocha (Centro de Investigación en Matemáticas, Mexico)
Herman rings of elliptic functions
15 December 2020. Abhijit Banerjee (University of Kalyani, India)
A survey on different uniqueness and strong uniqueness polynomials and their generating unique range sets
8 December 2020. Kerstin Jordaan (University of South Africa)
A characterisation of Askey-Wilson polynomials and the indeterminate moment problem associated with a limiting case
01 December 2020. Paul Gauthier (Université de Montréal, Canada)
Asymptotic first boundary value problem for holomorphic functions of several complex variables
24 November 2020. Gautam Bharali (Indian Institute of Science, Bangalore, India)
The Wolff-Denjoy theorem beyond the unit disc
17 November 2020. Núria Fagella (Universitat de Barcelona)
Wandering in complex dynamics
10 November 2020. Nick Trefethen (University of Oxford, UK)
Approximation on complex domains and Riemann surfaces
03 November 2020. Dierk Schleicher (Aix-Marseille Université, France)
Finding polynomial roots using complex analysis, dynamical systems, computer algebra
27 October 2020. Catherine Bénéteau (University of South Florida, USA)
A survey of optimal polynomial approximants and connections to digital filters
20 October 2020. Min Ru (University of Houston, USA)
Recent developments in Nevanlinna theory and Diophantine approximation
13 October 2020. Shamil Makhmutov (Sultan Qaboos University, Oman)
Growth estimates for meromorphic solutions of higher order algebraic differential equations
06 October 2020. Maria Nowak (Maria Curie-Skłodowska University, Poland)
On kernels of Toeplitz operators
29 September 2020. Norbert Steinmetz (Technische Universität Dortmund, Germany)
Laplace contour integrals and linear differential equations
22 September 2020. Lukas Geyer (Montana State University, USA)
Gravitational lensing and critically fixed anti-rational maps
15 September 2020. Tuen-Wai Ng (Hong Kong University)
The squeezing function on doubly-connected domains via the Loewner differential equation
08 September 2020. Phil Rippon (Open University, UK)
Constructing entire functions of small order - motivated by complex dynamics
14 July 2020. Jun Wang (Fudan University, China)
Julia Limiting Directions of Meromorphic Functions
07 July 2020. Grigor Barsegian (National Academy of Sciences of Armenia)
A new property of arbitrary complex polynomials
30 June 2020. Zinelâabidine Latreuch (University of Mostaganem, Algeria)
On meromorphic solutions of non-linear differential equations of Tumura-Clunie type
23 June 2020. Elena Luca (University College London, UK):
Mixed boundary value problems for slow viscous flows: new transform methods and applications
16 June 2020. Alexandre Eremenko (Purdue University, USA)
Moduli spaces for Lamé functions
09 June 2020. Yuefei Wang (Chinese Academy of Sciences, Beijing, China)
On the dynamics of entire functions with symmetry
02 June 2020. Aimo Hinkkanen (University of Illinois, USA)
A determinant problem for a third order ODE
26 May 2020. Katsuya Ishizaki (Open University of Japan)
Meromorphic solutions of Fermat type equations
19 May 2020. Walter Bergweiler (Christian-Albrechts Universität Kiel, Germany)
Entire solutions of linear q-difference equations
12 May 2020. Myrto Manolaki (University College Dublin, Ireland)
Mergelyan-type theorems in several complex variables
05 May 2020. Dave Sixsmith (Open University, UK)
Variations on the theme of Hardy concerning the maximum modulus
28 April 2020. Edmund Yik Man Chiang (Hong Kong University of Science and Technology)
On degeneration of bi-confluent Heun equations and special solutions of Painlevé IV
