We have bi-weekly seminar at IM PAN. The program and the video of previous talks can be accessed here.

**June 16, 2023 **Jenya Ferapontov (Loughborough University): Dispersionless integrable equations and modular forms (slides,video)

**June 2, 2023 **Jenya Ferapontov (Loughborough University): On ODEs satisfied by modular forms (slides,video)

**May 26, 2023 **Jarosław Kopiński (CFT): Applications of tractor calculus in general relativity - Part III (slides,video)

**May 12, 2023 **Jarosław Kopiński (CFT): Applications of tractor calculus in general relativity - Part II (slides,video)

**April 21, 2023 **Jarosław Kopiński (CFT): Applications of tractor calculus in general relativity - Part I (slides,video)

**April 7, 2023 **David McNutt (UiT): Cartan-Karlhede algorithm and Cartan invariants for spacetimes - Part III (slides,video)

**March 17, 2023 **David McNutt (UiT): Cartan-Karlhede algorithm and Cartan invariants for spacetimes - Part II (video)

**February 24, 2023 **David McNutt (UiT): Cartan-Karlhede algorithm and Cartan invariants for spacetimes - Part I (slides,video)

**February 10, 2023 **Ian Anderson (Utah State): Symmetries, Conservation Laws, and Variational Principles - Part III (video)

**January 27, 2023 **Ian Anderson (Utah State): Symmetries, Conservation Laws, and Variational Principles - Part II (video)

**January 13, 2023 **Ian Anderson (Utah State): Symmetries, Conservation Laws, and Variational Principles - Part I (Maple file, video)

**November 30, 2022 **Daniel J F Fox (UPM): Symmetric trilinear forms and Einstein-like equations: from affine spheres to Griess algebras- Part III (slides, video)

**November 23, 2022 **Daniel J F Fox (UPM): Symmetric trilinear forms and Einstein-like equations: from affine spheres to Griess algebras- Part II (slides, video)

**November 16, 2022 **Daniel J F Fox (UPM): Symmetric trilinear forms and Einstein-like equations: from affine spheres to Griess algebras- Part I (slides, video)

**September 23, 2022 **Jaehyun Hong (IBS-CCG): Characterizations of smooth projective horospherical varieties of Picard number one- Part II (slides)

**September 9, 2022 **Jaehyun Hong (IBS-CCG): Characterizations of smooth projective horospherical varieties of Picard number one- Part I (slides)

**June 24, 2022 **Tohru Morimoto (Nara Women University): Equivalence problems of geometric structures- Part II (slides)

**June 10, 2022 **Torhu Morimoto (Nara Women University): Equivalence problems of geometric structures- Part I (slides)

**May 27, 2022 **Joel Merker (Paris-Saclay U): Symmetries with power series- Part III (slides, video)

**May 13, 2022 **Joel Merker (Paris-Saclay U): Symmetries with power series- Part II (slides, video)

**April 29, 2022 **Joel Merker (Paris-Saclay U): Symmetries with power series- Part I (slides, video)

**April 1, 2022 **Omid Makhmali (CFT): Frobenius integrability and Cartan geometries- Part III (slides, video)

**March 18, 2022 **Omid Makhmali (CFT): Frobenius integrability and Cartan geometries- Part II (slides, video)

**March 4, 2022 **Omid Makhmali (CFT): Frobenius integrability and Cartan geometries- Part I (slides, video)

**February 11, 2022 **Andrea Santi (UiT): An introduction to supergravity in 11 dimensions- Part III (slides, video)

**January 28, 2022 **Andrea Santi (UiT): An introduction to supergravity in 11 dimensions- Part II (slides, video)

**January 14, 2022 **Andrea Santi (UiT): An introduction to supergravity in 11 dimensions- Part I (slides, video)

**December 3, 2021 **Boris Doubrov (BSU): Moving frames and invariants for submanifolds in parabolic homogeneous spaces- Part III (slides, video)

**November 19, 2021 **Boris Doubrov (BSU): Moving frames and invariants for submanifolds in parabolic homogeneous spaces- Part II (slides, video, supp)

**November 5, 2021 **Boris Doubrov (BSU): Moving frames and invariants for submanifolds in parabolic homogeneous spaces- Part I (slides, video, maple, supp)

**October 22, 2021 **Katja Sagerschnig (CFT PAN): Constructions with parabolic geometries: Part III (slides)

**October 15, 2021 **Katja Sagerschnig (CFT PAN): Constructions with parabolic geometries: Part II (slides)

**October 1, 2021 **Katja Sagerschnig (CFT PAN): Constructions with parabolic geometries: Part I (slides)

**June 22, 2021 **David Sykes (Texas A&M): On Geometry of 2-nondegenerate, Hypersurface-type Cauchy–Riemann Structures (pdf, video)

**June 15, 2021 **Igor Zelenko (Texas A&M): Geometry of rank 2 distributions via abnormal extremals: Part II (pdf, video)

**June 1, 2021 **Igor Zelenko (Texas A&M): Geometry of rank 2 distributions via abnormal extremals: Part I (pdf, video)

**May 25, 2021 **Boris Kruglikov (UiT): Dispersionless integrable systems: Part III (pdf, video)

**May 11, 2021 **Boris Kruglikov (UiT): Dispersionless integrable systems: Part II (pdf, video, maple)

**April 27, 2021 **Boris Kruglikov (UiT): Dispersionless integrable systems: Part I (pdf, video, maple)

**April 20, 2021 **Michail Zhitomirskii (Technion): Normal forms and symmetries for (2,3,5) and (3,5) distribution: Part IV (pdf, video)

**April 6, 2021 **Michail Zhitomirskii (Technion): Normal forms and symmetries for (2,3,5) and (3,5) distribution: Part III (pdf, video)

**March 23, 2021 **Michail Zhitomirskii (Technion): Normal forms and symmetries for (2,3,5) and (3,5) distributions: Part II (pdf, video)

**March 9, 2021 **Michail Zhitomirskii (Technion): Normal forms and symmetries for (2,3,5) and (3,5) distributions: Part I (pdf, video)

**February 23, 2021 **Dennis The (UiT):
Classifying homogeneous geometric structures; Part III (pdf, video)

**February 9, 2021 **Dennis The (UiT):
Classifying homogeneous geometric structures: Part II (pdf, video, supp)

**January 26, 2021 **Dennis The (UiT):
Classifying homogeneous geometric structures: Part I (pdf, video, maple)

** January 12, 2021 **Paweł Nurowski (CFT PAN):
Conformal transformations and the beginning of the Universe: Part III (pdf, video)

** December 15, 2020 **Paweł Nurowski (CFT PAN):
Conformal transformations and the beginning of the Universe: Part II (pdf, video)

**December 1, 2020 **Paweł Nurowski (CFT PAN):
Conformal transformations and the beginning of the Universe: Part I (pdf, video)

**November 10, 2020 **Jarosław Kopiński (CFT PAN):
Constructing a solution to the Penrose CCC scenario (video)

**June 24, 2021**, Marek Demianski (University of Warsaw), Expanding Universe (video)

Abstract: This is a public talk where a brief history of astronomy is surveyed and major discoveries are outlined. It gives a big picture of the field of astrophysics with some of the challenges that lie ahead.

**April 16, 2021**, Pawel Nurowski (CFT PAN), Before the Big Bang (poster)

Abstract: I will briefly describe Roger Penrose's recent approach to theoretical cosmology, called Conformal Cyclic Cosmology (CCC). The implications of CCC are very interesting. In particular, CCC says that there was a Universe before the Big Bang and suggests that we can see it.