Konkurs na stanowisko post-doca w projekcie NCN Weave-Unisono

Realizacja zadań badawczych w ramach projektu NCN Weave-Unisono (we współpracy z Instytutem Matematyki Uniwersytetu Karola w Pradze) pt. „Kwantowa geometryczna teoria reprezentacji i rozwłóknienia nieprzemienne”.

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Seminarium WM

• Universality of the Weyl-Heisenberg symmetry and its covariant quantizations
  prof. Jean Pierre Gazeau , Université Paris Cité
  2024-12-11 godz. 13:15 - 14:15

Seminaria w jednostkach

• Locally reflexivity in operator spaces
  dr Andrew McKee
  2024-11-29 godz. 13:15
• Automorphic Lie algebras on complex tori
  Casper Oelen, Heriot Watt
  2024-12-04 godz. 11:30 - 13:00
  Automorphic Lie algebras are a class of infinite-dimensional Lie algebras over the complex field $\mathbb{C}$ that emerged in the context of mathematical physics, and more precisely in the context of integrable systems. They can be thought of as Lie algebras of meromorphic maps (usually with prescribed poles) from a compact Riemann surface $X$ into a finite-dimensional Lie algebra $\mathfrak{g}$, which are equivariant with respect to a finite group $G$ acting on $X$ and on $\mathfrak{g}$, both by automorphisms. We will discuss a classification for $\mathfrak{g}=\mathfrak{sl}_2(\mathbb{C})$ and where $X$ is a complex torus. For each case in the classification, we compute a basis in a normal form. The automorphic Lie algebras correspond precisely to two disjoint families of Lie algebras parametrised by the modular curve of $\mathrm{PSL}_2(\mathbb{Z})$, apart from four cases, which are all isomorphic to Onsager's algebra. This work has been done in collaboration with Vincent Knibbeler and Sara Lombardo.

Ostatnio wydane publikacje

1. T. Goliński, A. B. Tumpach
   Geometry of Integrable Systems Related to the Restricted Grassmannian
   Symmetry Integrability Geom. Methods Appl. 20 (2024), 1-18.
   DOI: 10.3842/SIGMA.2024.104
2. M. Pankov, K. Petelczyc, M. Żynel
   Point-line geometries related to binary equidistant codes
   J. Combin. Theory Ser. A (2024), (on-line first).
   DOI: 10.1016/j.jcta.2024.105962
3. T. Brzeziński, M. Hryniewicka
   Translation Hopf algebras and Hopf heaps
   Algebr. Representat. Theor. 27 (2024), 1805-1819.
   DOI: 10.1007/s10468-024-10283-9
4. M. Woronowicz
   O grupach addytywnych pierścieni Hamiltona
   Perspektywy rozwoju w naukach inżynieryjno-technicznych – trendy, innowacje i wyzwania (P. Pomajda, M. Świtalski Ed(s).), vol. 1, Wydawnictwo Naukowe TYGIEL sp. z o.o., Lublin, Polska, 2024, pp. 277-302.
5. T. Brzeziński
   Special Normalised Affine Matrices: An Example of a Lie Affgebra
   Geometric Methods in Physics XL, Workshop, Białowieża, Poland, 2023, (P. Kielanowski, D. Beltita, A. Dobrogowska, T. Goliński et al. Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2024, pp. 115-125.
   DOI: 10.1007/978-3-031-62407-0_9