Nonlinear Analysis
Head of Seminar - Prof. Marek Izydorek.
Thursdays, 10:15
The main topics of the seminars are topological methods in nonlinear analysis.
Next talk:
- 29.02.2024, Karol Dziedziul, Ciesielski-Figel decomposition of Sobolev space on manifolds.
Presentations 2023/2024
- 22.02.2024, Marek Izydorek, Fundamental group of a Fredholm mapping space
- 18.01.2024, Dirac operators -- SPIN GEOMETRY AND APPLICATIONS
- 11.01.2024, Sergey Kryzhevich, Invariant measures for interval translations, properties and applications
- 14.12.2023, Karol Wroński, Symmetrization of convex function
- 7.12.2023, Pierre Alexandre Arlove, Application I: Floer homology of cotangent bundles, Part II -- SPIN GEOMETRY AND APPLICATIONS
- 30.11.2023, Luca Asselle, Application I: Floer homology of cotangent bundles -- SPIN GEOMETRY AND APPLICATIONS
- 23.11.2023, Giorgia Testolina, Spin structures -- SPIN GEOMETRY AND APPLICATIONS
- 16.11.2023, Paul Anton Wilke, Principal fibre bundles and connections -- SPIN GEOMETRY AND APPLICATIONS
- 9.11.2023, Lucas Dahinden, The Atiyah-Bott-Shapiro construction -- SPIN GEOMETRY AND APPLICATIONS
- 2.11.2023, Jacobus Sander de Pooter, Topological K-theory-- SPIN GEOMETRY AND APPLICATIONS
- 26.10.2023, Mehmet Furkan Cosgun, The groups Spin(n) and the spin representations- SPIN GEOMETRY AND APPLICATIONS
- 19.10.2023, Karol Wroński, Boundness of weak solutions of elliptic equations with non-standard growth conditions
- 12.10.2023, Jan Eyll, Clifford algebras -- SPIN GEOMETRY AND APPLICATIONS
Presentations 2022/2023
- 15.06.2023, Wojciech Kucharz, Analytic functions and Nash functions along curves
- 1.06.2023, Igor Kossowski, Semigroup method for heat equations with generalized fractional laplacian
- 25.05.2023, Maciej Starostka: Arnold conjecture on CP^n as a bifurcation problem
- 27.04.2023, Karol Dziedziul: Machine Learning..., part 2
- 20.04.2023, Karol Dziedziul: Machine Learning..., part 1
- 6.04.2023, Marek Izydorek: Chain recurrence & Lyapunov function, part 2
- 30.03.2023, Marek Izydorek: Chain recurrence & Lyapunov function, part 1
- 23.02.2023, Alexander Plakhov (University of Aveiro, Portugal): Rotating rod and ball
- 16.02.2023, Karol Wroński: Quasilinear elliptic problem in anisotropic Orlicz-Sobolev space on unbounded domain --- Nonlinear analysis and mathematical physcis seminar (with Peking Univerity)
- 02.02.2023, Jakub Maksymiuk: Higher regularity of Nemytski operator on Orlicz spaces ---Nonlinear analysis and mathematical physics seminar (with Peking University)
- 12.01.2023, Karol Dziedziul: From machine learning to Fredholm alternative
- 15.12.2022, Muhammad Riaz: Fractional Calculus and its Applications in Fluid Mechanics
- 17.11.2022, Igor Kossowski: Heat equations with generalized fractional Laplacian
- 10.11.2022, Marek Izydorek: The Ambrosetti-Rabinowitz condition for p-laplacian
- 27.10.2022, Magdalena Chmara: Some remarks about the Lions’ Lemma-type results
- 20.10.2022, Karol Wroński: Quasilinear elliptic problem in anisotropic Orlicz-Sobolev space on an unbounded domain
- 13.10.2022, Sergey Kryzhevich: t-SNE Highlights Patterns of SARS-CoV-2 Nucleocapsid and Spike Protein Evolution
- 6.10.2022, Tomasz Szarek: Distortion in the group of circle homeomorphisms
Presentations 2021/2022
- 23.06.2022, Victor Avrutin: Dynamics of discontinuous low-dimensional maps: good news from the frontiers (418 GB + online)
- 9.06.2022, Igor Kossowski: Mathematical background of quantum mechanics
- 19.05.2022, Jakub Maksymiuk: Critical group computation for a class of second-order differential equations, part 2.
- 12.05.2022, Jakub Maksymiuk: Critical group computation for a class of second-order differential equations
- 7.04.2022, Karol Wroński: Fully anisotropic Dirichlet problems with minimally integrable data, part 2
- 31.03.2022, Karol Wroński: Fully anisotropic Dirichlet problems with minimally integrable data
- 17.03.2022, Sergey Kryzhevich: Bifurcations and Periodic Points in a 1d Model of Population Dynamics, part 2.
- 10.03.2022, Sergey Kryzhevich: Bifurcations and Periodic Points in a 1d Model of Population Dynamics, part 1.
- 24.02.2022, Adam Bobrowski: On pairs of complementary boundary and transmission conditions
- 13.01.2022, Igor Kossowski: Axioms of quantum mechanics, part 2
- 16.12.2021
- Melanie Möckel: Bifurcation by comparison theory for the spectral flow
- Stefan Kupfer: The Maslov Index and the spectral flow
- 9.12.2021, Igor Kossowski: Axioms of quantum mechanics
- 2.12.2021, Sergey Kryzhevich: Non-Holonomic Controllability for Divergence-Free Flows and Pugh's Closing Lemma 3
- 25.11.2021, Sergey Kryzhevich: Non-Holonomic Controllability for Divergence-Free Flows and Pugh's Closing Lemma 2
- 18.11.2021, Beijing-Saint Petersburg Mathematics Colloquium (online)
- Prof. Ari Laptev: Symmetry Results in Two-Dimensional Inequalities for Aharonov–Bohm Magnetic Fields,
- Guixiang Xu (Beijing Normal University): Microscopic conservation laws for the derivative nonlinear Schrodinger equation
- 4.11.2021, Sergey Kryzhevich: Non-Holonomic Controllability for Divergence-Free Flows and Pugh's Closing Lemma
- 28.10.2021, Igor Kossowski: Nonlinear equations with generalized fractional Laplacian, part 2.
- 21.10.2021, Igor Kossowski: Nonlinear equations with generalized fractional Laplacian
- 14.10.2021, Maciej Starostka: Relative cup-length of local Morse cohomology
Presentations 2020/2021
- 13.05.2021 Sergey Kryzhevich (Saint Petersburg State University): Closing and connecting lemmas for conservative flows in Euclidean spaces.
- 1.02.2021 Luca Asselle (University of Gießen): New results about Hamiltonian systems in cotangent bundles
Presentations 2019/2020
- 5.03.2020 Maciej Starostka: Towards the analytical setting for Hamiltonian systems on cotangent bundles, part 2.
- 27.02.2020 Maciej Starostka: Towards the analytical setting for Hamiltonian systems on cotangent bundles.
- 9.01.2020 Tomasz Szarek: On Kingman’s subadditive ergodic theorem, part 2.
- 12.12.2019 Tomasz Szarek: On Kingman’s subadditive ergodic theorem and around it.
- 7.11.2019 Karol Wroński: Some specific properties of anisotropic Orlicz-Sobolew spaces.
- 31.10.2019 Maciej Starostka: Arnold's conjecture on complex projective spaces
- 17.10.2019 Marek Izydorek: On Arnold's hypothesis, part 2.
- 10.10.2019 Marek Izydorek: On Arnold's hypothesis, part 1.
Presentations 2018/2019
- 11.04.2019 Magdalena Chmara: Applications of Mountain Pass Theorems in anisotropic Euler-Lagrange systems.
- 28.02.2019 Pedro Tiago da Costa Soares: Coupled cell networks and Coupled cell systems.
- 20.12.2018 Marek Izydorek: Superquadratic eliptic systems - variational approach.
- 06.12.2018 Robert Krawczyk: Biofilter equation.
- 29.11.2018 Magdalena Chmara: Moutain Pass Theorem in anisotropic Euler-Lagrange systems.
- 22.11.2018 Zdzisław Dzedzej: Homotopies of admissible mappings. Part 2.
- 15.11.2018 Zdzisław Dzedzej: Homotopies of admissible mappings. Part 1.
- 08.11.2018 Jakub Maksymiuk: Weak topology in Banach spaces.
- 25.10.2018 Karol Wroński: Dirichlet problem for fully anisotropic elliptic equations.
- 11.10.2018 Marek Izydorek: Milnor's exotic spheres. Part 2.
- 04.10.2018 Marek Izydorek: Milnor's exotic spheres. Part 1.
Presentations 2017/2018
- 06.06.2018 Antoni Augustynowicz: Remarks on the stability of differential equations on the time scales.
- 24.05.2018 Anita Zgorzelska: The study of bifurcation in certain variational problems of elastic mechanics.
- 17.05.2018 Mirosław Ślosarski (Koszalin University of Technology): Relative retracts theory.
- 10.05.2018 Jakub Maksymiuk: Clark duality and periodic solutions for Euler-Lagrange equation. Part 3.
- 26.04.2018 Jakub Maksymiuk: Clark duality and periodic solutions for Euler-Lagrange equation. Part 2.
- 25.04.2018 Jakub Maksymiuk: Clark duality and periodic solutions for Euler-Lagrange equation. Part 1.
- 19.04.2018 Marek Izydorek: Homoclinics for strong force Lagrangian systems.
- 12.04.2018 Joanna Janczewska: Subharmonic solutions for a class of Lagrangian systems.
- 18.01.2018 Axel Janig: Nonautonomous Conley Index theory and asymptotically autonomous differential equations.
- 21.12.2017 Marek Izydorek: Periodic orbits with high energy.
- 14.12.2017 Robert Krawczyk: Palais-Smale sequences for action functional.
- 07.12.2017 Luca Asselle (Ruhr University Bochum): A new approach to the closed magnetic geodesics problem based on symplectic reduction.
- 30.11.2017 Marcin Styborski: Characteristic critical values for action functional.
- 23.11.2017 Jakub Maksymiuk: Action functional on manifolds.
- 15.11.2017 Paul Trygsland (NTNU): From classical to discrete Morse theory.
- 09.11.2017 Maciej Starostka: Manifold structure on loop space. Part 2.
- 02.11.2017 Maciej Starostka: Manifold structure on loop space.
- 02.11.2017 Karol Wroński: Regularity of minimizers of anisotropic functionals. Part 4.
- 26.10.2017 Karol Wroński: Regularity of minimizers of anisotropic functionals. Part 3.
- 19.10.2017 Karol Wroński: Regularity of minimizers of anisotropic functionals. Part 2.
- 12.10.2017 Karol Wroński: Regularity of minimizers of anisotropic functionals.
Presentations 2016/2017
- 16.03.2017 Karol Wroński: Regularity of minimum of some functionals with nonstandard growth conditions. Part II.
- 09.03.2017 Karol Wroński: Regularity of minimum of some functionals with nonstandard growth conditions. Part I.
- 15.12.2016 Stephan Mescher (Queen Mary University of London): Hochschild homology of Morse cochains and free loop spaces
- 17.11.2016 Jakub Kiszkiel: Trace in the symmetric, monoidal categories and the Lefschetz number
- 03.11.2016 Robert Krawczyk: Morse theory, an introduction
- 27.10.2016 Jakub Maksymiuk: Convex functions. Orlicz-Sobolev vector space, part 2.
- 20.10.2016 Jakub Maksymiuk: Convex functions. Orlicz-Sobolev vector space, part 1.
- 13.10.2016 Karol Wroński: Regularity of solutions to elliptic partial differential equations, cz. 2
- 06.10.2016 Karol Wroński: Regularity of solutions to elliptic partial differential equations, cz. 1
- 13.09.2016 Anna Kimaczyńska: The differential operators in the bundle of symmetric tensors on a Riemannian manifold
Presentations 2015/2016
- 30.06.2016 Jakub Ciesielski: On the Bernstein theorem
- 19.05.2016 Andrzej Granas: Homotopy extension theorem and its applications
- 28.04.2016 Thomas Rot: Morse-Conley-Floer homology, part 2
- 26.04.2016 Thomas Rot: Morse-Conley-Floer homology, part 1
- 08.04.2016 Luca Asselle: Periodic orbits of magnetic flows: a variational approach, part 5
- 07.04.2016 Luca Asselle: Periodic orbits of magnetic flows: a variational approach, part 4
- 06.04.2016 Luca Asselle: Periodic orbits of magnetic flows: a variational approach, part 3
- 05.04.2016 Luca Asselle: Periodic orbits of magnetic flows: a variational approach, part 2
- 04.04.2016 Luca Asselle: Periodic orbits of magnetic flows: a variational approach, part 1
- 24.03.2016 Aleksander Czechowski (Uniwersytet Jagielloński): Ścisła numeryka dla równań powolno-szybkich
- 17.03.2016 Maciej Starostka: E-cohomological Conley index
- 10.03.2016 Karol Wroński: Orlicz-Sobolev spaces on unbounded domains
- 03.03.2016 Marek Izydorek: Planar systems with second-order differential operator
- 03.12.2015 Gabriele Benedetti (Münster): On the periodic motions of a charged particle in a magnetic field, part 1
- 26.11.2015 Nils Waterstraat (University of Kent): Spectral flow, crossing forms and bifurcation of homoclinics
- 12.11.2015 Karol Dziedziul: Orthogonal partition of unity on Riemannian manifolds
- 05.11.2015 Karol Gryszka: (Uniwersytet Jagielloński): Asymptotically periodic trajectories
- 22.10.2015 Karol Wroński: Allen-Cahn equations with an anisotropic operator, part 3
- 15.10.2015 Karol Wroński: Allen-Cahn equations with an anisotropic operator, part 2
- 08.10.2015 Jakub Maksymiuk: Allen-Cahn equations with an anisotropic operator, part 1
Presentations 2014/2015
- 16.04.2015 Karol Wroński: Planar solutions to almost periodic Allen-Cahn-type equations, part 2
- 09.04.2015 Karol Wroński: Planar solutions to almost periodic Allen-Cahn-type equations, part 1
- 12.03.2015 Marcin Styborski: Central configurations - nondegenerate collinear configurations part 2
- 17.02.2015 Wojciech Kryszewski: Asymptotical linearity in the sense of Hadamard and bifurcations at infinity of solutions to Schroedinger equation
- 11.12.2014 Agnieszka Gwiazda-Świerczewska, Piotr Gwiazda: On the applications of the theory of Orlicz spaces in PDE's
- 27.11.2014 Marcin Styborski: Central configurations and Morse theory, part 3
- 20.11.2014 Marcin Styborski: Central configurations and Morse theory, part 2
- 13.11.2014 Robert Krawczyk: Homoclinic solutions to spatial system with almost periodic potential with singularities, part 3
- 06.11.2014 Robert Krawczyk: Homoclinic solutions to spatial system with almost periodic potential with singularities, part 2.
- 30.10.2014 Robert Krawczyk: Homoclinic solutions to spatial system with almost periodic potential with singularities, part 1.
- 16.10.2014 Michael Hecht: Isomorphic chain complexes of Hamiltonian dynamics III
- 14.10.2014 Michael Hecht: Isomorphic chain complexes of Hamiltonian dynamics II
- 13.10.2014 Michael Hecht: Isomorphic chain complexes of Hamiltonian dynamics I
- 09.10.2014 Marcin Styborski: Central configurations and Morse theory part 2
- 05.03.2014 Marcin Styborski: Central configurations - nondegenerate collinear configurations part 1
Presentations 2013/2014
- 15.05.2014 Karol Wroński Hodge star operator and its properties, part II.
- 08.05.2014 Jakub Maksymiuk On the self-indexing Morse functions.
- 10.04.2014 Karol Wroński Hodge star operator and its properties, part I.
- 27.03.2014 Maciej Starostka Heegaard diagrams 2
- 20.03.2014 Maciej Starostka Heegaard diagrams 1
- 06.03.2014 Marek Izydorek Equivariant otopy and homotopy of the fiber maps.
- 23.01.2014 Thaís Monis Lefschetz coincidence class for p maps and p-orientation
- 16.01.2014 Robert Krawczyk Homoclinic type solutions of second order Hamiltonian systems. Part II
- 19.12.2013 Robert Krawczyk Homoclinic type solutions of second order Hamiltonian systems.
- 12.12.2013 Tirasan Khandhawit: Stable homotopy type for monopole Floer homology: Part 2
- 11.12.2013 Tirasan Khandhawit: Stable homotopy type for monopole Floer homology: Part 1
- 10.12.2013 Tirasan Khandhawit: Stable Conley index on Hilbert spaces
- 05.12.2013 Robert Krawczyk: Homoclinic solutions of second order Hamiltonian systems.
- 28.11.2013 Nils Waterstraat: On the existence of non-trivial harmonic spinors.
- 21.11.2013 Maciej Starostka: Finite dimensional submanifolds of a Hilbert space.
- 14.11.2013 Maciej Starostka: E-cohomology - properties and examples.
- 07.11.2013 Maciej Starostka: Morphisms of bundles and characteristic classes.
- 17.10.2013 Marek Izydorek: Homoclinic solutions of Hamiltonian systems with singularity.
Presentations 2012/2013
- 13.06.2013 Marcin Styborski: Central configurations. Part 2.
- 06.06.2013 Marcin Styborski: Central configurations.
- 23.05.2013 Jakub Maksymiuk: LS Conley index of asymptotically linear Hamiltonian systems.
- 16.05.2013 Marek Izydorek: Fundamental class.
- 26.04.2013 Seminar: "Physical dynamical systems" (IM PAN) Marek Izydorek: An extension of the classical Conley index to Hilbert spaces.
- 18.04.2013 Maciej Starostka: Trajectory spaces in Morse theory.
- 11.04.2013 Kazimierz Gęba: Realization of stable homotopy classes in Hilbert space. Part 2.
- 04.04.2013 Kazimierz Gęba: Realization of stable homotopy classes in Hilbert space.
- 28.02.2013 Joanna Janczewska: Introduction to von Karman equations.
- 21.02.2013 Jakub Maksymiuk: Dancer Theorem for LS-index.
- 12.01.2013 (Away seminar "Physical dynamical systems", IM PAN Warsaw) Marek Izydorek: Conley index in Hilbert spaces: an introduction.
- 06.12.2012 Markus Szymik: (University of Copenhagen): The vortex equations and stable homotopy theory.
- 22.11.2012 Marcin Styborski: On Leray-Hirsch Theorem.
- 08.11.2012 Maciej Starostka: Complex and almost complex structures: examples.
- 25.10.2012 Marek Izydorek: Obstacle to rise the structural group.
- 18.10.2012 Kazimierz Gęba: Configuration spaces.
Presentations 2011/2012
- 24.05.2012 Andrzej Szulkin (Stockholm Univ.): Concentration Phenomena of a Semilinear Elliptic Equation
- 24.05.2012 Aleksy Tralle (UWM Olsztyn): Symplectomorphism groups of coadjoint orbits
- 17.05.2012 Denise de Mattos (Univ. de São Paulo): Edivaldo Lopes dos Santos (Univ. Fed. de São Carlos ) Bourgin-Yang version of the Borsuk-Ulam theorem for [\mathbb{Z}_{p^k}]
- 10.05.2012 Justyna Signerska: Firing-map for almost-periodically driven integrate-and-fire model 2
- 19.04.2012 Justyna Signerska: Firing-map for almost-periodically driven integrate-and-fire model 1
- 29.03.2012 Piotr Bartłomiejczyk: Configuration spaces and classifying spaces 2
- 22.03.2012 Piotr Bartłomiejczyk: Configuration spaces and classifying spaces 1
- 16.02.2012 Joanna Janczewska: Mathematical foundations of the theory of elastic plates. The equations of Germain and Karman
- 10.02.2012 Nuno Romao: Vortex equations and their geometry 3
- 09.02.2012 Nuno Romao: Vortex equations and their geometry 2
- 08.02.2012 Nuno Romao: Vortex equations and their geometry 1
- 22.12.2011 Marek Izydorek: Splitting principle for equivariant gradient maps of spheres
- 01.12.2011 Kazimierz Gęba: Seiberg-Witten functional 2
- 24.11.2011 Kazimierz Gęba: Seiberg-Witten functional 1
- 17.11.2011 Maciej Starostka: Weitzenböck formula
- 10.11.2011 Marek Izydorek: Euler-Lagrange equation for the Yang-Mills functional
- 27.10.2011 Joanna Janczewska: The shadowing chain lemma for singular Hamiltonian systems involving strong forces
- 25.10.2011 Wacław Marzantowicz (UAM Poznań): Equivariant Lusternik-Schnirelmann category of compact closed orientable surfaces
- 20.10.2011 Marcin Styborski: Reeb graphs
- 13.10.2011 Bronisław Jakubczyk (IM PAN Warszawa): Conjugate points for the second order ODEs
- 06.10.2011 Zdzisław Dzedzej: On the equivariant Conley index