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Aalto Stochastics and Statistics Seminar is organized by Kalle Kytölä, Lasse Leskelä, and Pauliina Ilmonen. Feel free to contact one of us if you are interested in giving a talk. You may also earn credit points by active participation.

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- 14.1. 14:00 Olle Hallqvist Elias (Alfréd Rényi Institute of Mathematics): Interlacements and the GFF – Zoom
- 14.1. 11:00 Ommolbanin Behzad (University of Isfahan): Exterior powers, Polynomial rings, and Representation of Lie Algebras – Zoom
I will report on some recent work of myself, A.Contiero and D. Martins about representing lie algebras of vector space endomorphisms on exterior algebras, seeing it as the finite type case of the celebrated DJKM bosonic vertex operator representation of gl_∞(Q).

- 4.1. 17:00 Olga Chekeres (University of Connecticut): Quantum Wilson surfaces and topological interactions – Zoom
- 3.1. 11:00 Julien Roussillon (KTH): Confluence of correlation functions in Liouville theory – Zoom
- 26.11.2021 10:15 Augustin Lafay (ENS): Web models as generalizations of statistical loop models – Zoom
Two dimensional gases of non intersecting loops have been a subject of study in mathematical physics for more than thirty years because of their numerous connections to integrability, two dimensional conformal field theory, random geometry and combinatorics. In this talk, I will present a natural generalization of loop models to gases of graphs possessing branchings. These graphs are called webs and first appeared in the mathematical community as diagrammatic presentations of categories of representations of quantum groups. The web models posses properties similar to the loop models. For instance, it will be shown that they describe, for some tuning of the parameters, interfaces of spin clusters in Zn spin models. Focusing on the numerically more accesible case of Uq(sl3) webs (or Kuperberg webs), it is possible to identify critical phases that are analogous to the dense and dilute phases of the loop models. These phases are then described by a Coulomb Gas with a two component bosonic field.

- 15.11.2021 14:15 Yizheng Yuan: Refined regularity of SLE – Y229a
SLE (Schramm-Loewner evolution) is a family of random planar curves that have some natural conformal invariance properties. They appear in a variety of planar models that exhibit conformal invariance in the scaling limit. Regarding their regularity, the optimal Hoelder and p-variation exponents are known from previous works. In this talk, I will present refinements of the regularity statements to the logarithmic scale. I will present a new argument for obtaining these results and discuss some applications.

- 31.8.2021 16:15 Eveliina Peltola: On the conformal invariance of the uniform spanning tree model (further info) – Zoom
Mathematical physics seminar day 31.8.2021

- 31.8.2021 15:30 Kalle Kytölä: Boundary conformal field theory inspired diagonalization of the Ising transfer matrix (further info) – Zoom
Mathematical physics seminar day 31.8.2021

- 31.8.2021 14:45 Osama Abuzaid: On Loewner evolutions (further info) – Zoom
Mathematical physics seminar day 31.8.2021

- 31.8.2021 14:00 Tuomas Tuukkanen: The free fermion boundary conformal field theory (further info) – Zoom
Mathematical physics seminar day 31.8.2021

- 31.8.2021 12:15 Shinji Koshida: Tensor product in conformal field theory (further info) – Zoom
Mathematical physics seminar day 31.8.2021

- 31.8.2021 11:30 Aapo Pajala: TBA (further info) – Zoom
Mathematical physics seminar day 31.8.2021

- 31.8.2021 10:45 Rami Echriti: TBA (further info) – Zoom
Mathematical physics seminar day 31.8.2021

- 31.8.2021 10:00 David Adame-Carrillo: Ising model and discrete s-holomorphicity (further info) – Zoom
Mathematical physics seminar day 31.8.2021

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