ACOTCA 2025 : XIX Advanced Course in Operator Theory and Complex Analysis

16 Jun 2025, 12:00 → 20 Jun 2025, 14:15 Europe/Paris

Clermont-Ferrand

We are pleased to announce that the XIX edition of ACOTCA will take place at Université Clermont Auvergne in Clermont-Ferrand (France) from 16-20 June 2025. 

The meeting will consist of four advanced courses, six invited plenary lectures and a number of contributed talks. 

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Advanced courses

• Emmanuel Fricain (University of Lille) - Introduction to the dynamical properties of Toeplitz operators on the Hardy space of the unit disc
  
• Pamela Gorkin (Bucknell University) - Function theory and geometry in a problem in linear algebra: circular numerical ranges
  
• Daniela Kraus (University of Würzburg) - Maximal Blaschke products
• Eugene Shargorodsky (King's College London) - Introduction to the spectral theory of Toeplitz operators Slides

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Invited speakers

• Nikolaos Chalmoukis (University of Milano-Bicocca) - Sharp $L^p$ bounds for the Hardy-Littlewood maximal operator on Gromov hyperbolic spaces
• Raul Curto (University of Iowa) - Mellin Transform and Exponential Polynomial Methods in the Study of the Square Root Problem for Positive Measures
• Dijana Ilišević (University of Zagreb) - Spectral properties of periodic isometries
• María José Martín (University of La Laguna) - Higher order harmonic Schwarzian derivatives
  
• Myrto Manolaki (University College Dublin) - Boundary behaviour of holomorphic functions
• Luis Rodríguez-Piazza (University of Seville) - Composition operators on weighted Hardy spaces
  

 

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Scientific committee

• Nicola Arcozzi (Università di Bologna)
• Isabelle Chalendar (Université Gustave Eiffel)
• Eva Gallardo-Gutiérrez (Universidad Complutense de Madrid)

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Local organisation committee

• Frédéric Bayart (Université Clermont Auvergne)
• Isabelle Chalendar (Université Gustave Eiffel)
• Cliff Gilmore (Université Clermont Auvergne)
• Lucas Oger (Université Gustave Eiffel)

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Sponsors 

        

 

          

 

                        

Slides Shargorodsky-ACOTCA.pdf

Monday 16 June

Registration: Welcome and Registration

Course: Fricain 1

Course: Gorkin 1

16:00 Coffee

Contributed Talks: Session 1

1 Commuting holomorphic self-maps of the unit disk and pseudo-iterates

Speaker: Pavel Gumenyuk (Politecnico di Milano)

2 Sampling in (quasi) shift-invariant spaces generated by ratios of exponential polynomials

Speaker: Ilia Zlotnikov (NTNU)

3 On the Shapes of Rational Lemniscates

Speaker: Kirill Lazebnik (University of Texas at Dallas)

Contributed Talks: Session 2

4 Dynamics of shift operators

Speaker: Quentin Menet (Université de Mons)

5 Size of Parameter Set and The Set of Disjoint Hypercyclic Vectors

Speaker: Sibel Sahin (Mimar Sinan Fine Arts University)

6 Mixing and Kitai's Criterion for Composition Operator

Speaker: Daniel Gomes (Unicamp)

Contributed Talks: Session 3

7 Sampling and Interpolation in Small Fock Spaces

Speaker: Mikhail Mironov (Gustave Eiffel University)

8 Determinantal point processes and generalized Fock spaces

Speaker: Giuseppe Lamberti (Institut de Mathématiques de Bordeaux)

9 Cyclicity in Poletsky-Stessin Weighted Bergman Spaces

Speaker: Pouriya Torkinejad Ziarati (Toulouse Mathematics Institute)

Tuesday 17 June

Course: Kraus 1

Course: Shargorodsky 1

10:45 Coffee

Course: Fricain 2

12:15 Lunch

Course: Gorkin 2

Invited Speaker: Chalmoukis

16:00 Coffee

Contributed Talks: Session 4

10 Algebra and PDE

Speaker: Dmitry Khavinson (University of South Florida)

11 Generalized Rosette Harmonic Mappings and their lifts to Minimal Surfaces

Speaker: Jane McDougall (Colorado College)

12 The Property of Unique Continuation in Certain Spaces Spanned by Rational Functions on Compact Nowhere Dense Sets

Speaker: James Brennan (University of Kentucky)

Contributed Talks: Session 5

13 Weighted shifts on directed graphs

Speaker: Dimitris Papathanasiou (Sabanci University)

14 Incomplete polynomial approximation and frequent universality

Speaker: Konstantinos Maronikolakis (Bilkent University)

15 Typical properties of positive contractions and the invariant subspace problem

Speaker: Valentin Gillet (Université de Lille)

Contributed Talks: Session 6

16 A property about seminorms and distances on Fréchet space

Speaker: Lucas Oger (Université Gustave Eiffel)

17 Concentration in the Fourier Symmetric Sobolev space

Speaker: Denis Zelent (Norwegian University of Science and Technology)

18 Reducing subspaces of operators with compact imaginary part

Speaker: Norberto Clemente Delgado (Universidad Complutense de Madrid-ICMAT)

Wednesday 18 June

Course: Fricain 3

Course: Kraus 2

10:45 Coffee

Invited Speaker: Ilišević

Invited Speaker: Curto

Lunch

Social: Excursion

Social: Conference Dinner

Thursday 19 June

Course: Gorkin 3

Course: Shargorodsky 2

10:45 Coffee

Invited Speaker: Manolaki

Invited Speaker: Rodríguez-Piazza

12:40 Lunch

Course: Kraus 3

Invited Speaker: Martín

16:10 Coffee

Contributed Talks: Session 7

19 Some Gaussianity criteria for Khinchin families

Speaker: Víctor Maciá Medina (CUNEF Universidad)

20 Hyperrigidity as a form of ’noncommutative’ approximation that captures many important operator-algebraic phenomena

Speaker: Paweł Pietrzycki (Jagiellonian University)

Contributed Talks: Session 8

21 Critical sets of Hardy spaces and some related problems

Speaker: Carlo Bellavita (Universitat de Barcelona)

22 H(b) spaces that are $\mathcal{D}_\mu$ spaces with infinitely many atoms

Speaker: Eugenio Dellepiane (Politecnico di Torino)

Contributed Talks: Session 9

23 On the spectrum of Lipschitz operators

Speaker: Arafat Abbar (LAMA)

24 Numerical ranges of antilinear operators

Speaker: Damian Kołaczek (University of Agriculture in Krakow)

Friday 20 June

Course: Shargorodsky 3

Contributed Talks: Session 10

25 The Szász inequalities for matrix polynomials

Speaker: Piotr Pikul (Jagiellonian University)

26 Generalized spaces of constant curvature in almost contact metric geometry

Speaker: José Airán Santana Rivero (University of La Laguna)

Contributed Talks: Session 11

27 Hypercyclicity of Toeplitz operators

Speaker: Maëva Ostermann (CNRS - Universtité de Lille)

28 Recent progress on hypercyclic holomorphic mappings with slow growth

Speaker: Zhangchi Chen (East China Normal University)

10:45 Coffee

Contributed Talks: Session 12

29 Polynomial-Based Approximation of the Koopman Operator

Speaker: Rishikesh Yadav (Umea University)

30 A VARIANT OF THE FRACTIONAL GAMMA-REGULARIZED ZETAKERNEL

Speaker: Hunduma Legesse Geleta (Addis Ababa University)

31 Forward iteration preserves indestructible and maximal Blaschke products

Speaker: Annika Moucha (University of Würzburg)

Contributed Talks: Session 13

32 Composition operators on the polydisc

Speaker: Anne DORVAL (UCA)

33 Composition Operators and Rational Inner Functions on the bidisc

Speaker: Athanasios Beslikas (Jagiellonian University)

34 Bounded Composition Operators on Hilbert Space of Complex-Valued Harmonic Functions

Speaker: Tseganesh Gebrehana (Addis Ababa University)

Lunch