* Dates within the next 7 days are marked by a star.
Santra Uusitalo
Real-Time 3D Semantic Segmentation for Augmented Reality Head-Up Displays (Master thesis talk)
* Today * Thursday 12 February 2026, 14:00, M205
Anestis Tzogias (U. Neuchatel)
The Arakelov class group and hard cryptographic problems on ideal lattices
* Today * Thursday 12 February 2026, 16:00, M237
Euclidean lattices are a trendy topic from the applied side, as they are a very promising candidate for constructing quantum-resistant cryptographic protocols, based on hard problems such as the Shortest Vector Problem (SVP). Ideal lattices are a class of lattices coming from ideals in number fields, and recently they have been getting attention for allowing efficient implementation of cryptographic lattice protocols, with perhaps the most famous being based on the Learning With Errors problem. From the mathematical side, the space of all ideal lattices up to isometry is an object well-known to number theorists, called the Arakelov class group. We will discuss a result of de Boer et al. which uses random walks on the topological structure of the Arakelov class group and the Extended Riemann Hypothesis to relate the average-case and worst-case instances of the SVP problem on ideal lattices.
ANTA Seminar / Hollanti et al.
Andrew Swan (EPFL)
Supersymmetric spin systems and their random walk representations
* Monday 16 February 2026, 10:00, U250a
In the late 1960s, Symanzik introduced the idea that certain Euclidean field theories could be represented as gases of random walks and loops, interacting according to their local times. This idea, developed further by Dynkin, Brydges, Fröhlich, Spencer, and many others, has led to a broad class of such identities, now commonly referred to as `isomorphism theorems'. One useful way to view these results is as a mechanism for transferring tools between the two settings: probabilistic techniques can be applied to field theoretic questions, while field theoretic ideas can be exploited in the study of random walks.
In the classical setting, these theorems relate the local times of Markovian random walks to the squares of Gaussian free fields. In this talk, I will focus on the supersymmetric hyperbolic sigma model and its reinforced random walk representation in terms of the vertex reinforced jump process (VRJP), a non-Markovian random walk whose jump rates are reinforced by the accumulated local times of the walker.
I will further discuss how the `mixture representation' of the VRJP can be understood through the geometry the hyperbolic sigma model (in particular, by its foliation by flat Euclidean leaves), and explain how supersymmetry provides a conceptual explanation the VRJP 'magic formula'. Finally, I will describe a non-reversible analogue of the VRJP, its connection to a new `$\Z_2$-equivariant' generalisation of the hyperbolic sigma model.
Mathematical physics seminar
Emilia Takanen (Aalto)
What is algebraic topology in relation to algebraic geometry? + Midterm review
* Monday 16 February 2026, 14:15, M3 (M234)
TBA
AGC
Dr. Lucas Hataishi (University of Oxford)
Higher genus symmetric enveloping algebras from factorization homology
* Tuesday 17 February 2026, 10:15, M3 (M234)
A complex algebra equipped with a conjugate-linear involution which can be faithfully represented as a norm-closed algebra of bounded operators on a Hilbert space is called a C-algebra. Examples include the algebra of continuous functions on a locally compact Hausdorff space vanishing at infinity. This is indeed the unique class of commutative C-algebras up to isomorphism. All relations between locally compact Hausdorff spaces can be translated as relation between their algebra of functions, and thus the theory of C*-algebras can be considered a generalization of the theory of locally compact spaces. It offers a framework in which to study algebras of observables in quantum field theory.
In this talk, I will discuss aspects of a recent construction of 2-dimensional topological quantum field theories (TQFTs) from certain inclusions of C-algebras, which we call discrete. I will explain how this notion is an axiomatization of the fixed point subalgebra of a compact group action on a C-algebra. Starting from such an inclusion, the value of the resulting TQFT on a disk is characterized by an associated C*-algebra, called the symmetric enveloping algebra; a concrete realization of an abstract object that have appeared in the algebraic approach to conformal field theories, in the theory of quantum groups and of subfactors. The values of the TQFT on other surfaces give extensions of the symmetric enveloping algebra which come equipped with actions of the mapping class groups.
Romain Usciati (Paris-Saclay)
TBA
Tuesday 24 February 2026, 10:15, M3 (M234)
Milla Laurikkala
Midterm review
Tuesday 24 February 2026, 11:15, M2 (M233)
Lorenzo Zacchini (Aalto University)
Fractional integrals on spaces of homogeneous type
Wednesday 25 February 2026, 10:15, M3 (M234)
Analysis seminar / Hytönen
Theo Elenius
Midterm review
Wednesday 04 March 2026, 10:15, M3 (M234)
Seminar on analysis and geometry
Eetu Reijonen
On the effect of socioeconomic conditions on population health --- Prediction of disease burden in OECD countries (MSc thesis presentation)
Monday 09 March 2026, 15:15, Y405
Dr. John Urschel (MIT)
TBA
Tuesday 10 March 2026, 15:15, U5 (U147)
Riku Anttila (University of Jyväskylä)
Uniqueness of sign-changing solutions to Trudinger's equation
Wednesday 11 March 2026, 10:15, M3 (M234)
We establish uniqueness for sign-changing solutions to Trudingers parabolic equation with time dependent $C^2$ Dirichlet boundary data.
This talk is based on my joint work with Peter Lindqvist and Mikko Parviainen; preprint available at arXiv:2602.04748.
Seminar on analysis and geometry
Sylvester Eriksson-Bique (University of Jyväskylä)
p-Dirichlet structures, the resistance conjecture and energy image density property
Wednesday 11 March 2026, 11:15, M3 (M234)
We develop the axioms for p-dirichlet structures. This abstract framework unifies different approaches and leads to new results in conformal geometry. We show how two conjectures that were open for Dirichlet spaces can be shown to hold in this very general setting. In fact, the proofs came from thinking in this general framework. The talk includes joint work with Riku Anttila, Mathav Murugan and Lassi Rainio.
Seminar on analysis and geometry
Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
Thursday 12 March 2026, 09:00, TBA
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887
Philémon Bordereau (EPFL)
TBA
Tuesday 07 April 2026, 10:15, M3 (M234)
MSc Ian Välimaa (Aalto)
TBA (Mid-term review)
Monday 20 April 2026, 14:15, M3 (M234)
Aalto Stochastics & Statistics Seminar / Leskelä
Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
Friday 08 May 2026, 09:00, TBA
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887
Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
Monday 15 June 2026, 09:00, TBA
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887
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